Neutrosophic Super Matrices And Quasi Super Matrices

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Neutrosophic Super Matrices and Quasi Super Matrices

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 202 pages
File Size : 52,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9781599731940

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Neutrosophic Super Matrices and Quasi Super Matrices by W. B. Vasantha Kandasamy, Florentin Smarandache Pdf

Neutrosophic Super Matrices and Quasi Super Matrices

Author : Florentin Smarandache W.B.Vasantha Kandasamy
Publisher : Unknown
Page : 0 pages
File Size : 51,8 Mb
Release : 2012
Category : Electronic
ISBN : 1461950104

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Neutrosophic Super Matrices and Quasi Super Matrices by Florentin Smarandache W.B.Vasantha Kandasamy Pdf

Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making

Author : Faruk Karaaslan,Khizar Hayat
Publisher : Infinite Study
Page : 21 pages
File Size : 52,7 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

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Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making by Faruk Karaaslan,Khizar Hayat Pdf

The single-valued neutrosophic set plays a crucial role to handle indeterminant and inconsistent information during decision making process. In recent research, a development in neutrosophic theory is emerged, called single-valued neutrosophic matrices, are used to address uncertainties. The beauty of single-valued neutrosophic matrices is that the utilizing of several fruitful operations in decision making.

Neutrosophic Operational Research

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Springer Nature
Page : 628 pages
File Size : 40,7 Mb
Release : 2021-09-09
Category : Business & Economics
ISBN : 9783030571979

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Neutrosophic Operational Research by Florentin Smarandache,Mohamed Abdel-Basset Pdf

This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic. The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning. It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.

The Encyclopedia of Neutrosophic Researchers, Vol. I

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 232 pages
File Size : 41,5 Mb
Release : 2016-11-12
Category : Mathematics
ISBN : 9781599734682

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The Encyclopedia of Neutrosophic Researchers, Vol. I by Florentin Smarandache Pdf

This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

Strong Neutrosophic Graphs and Subgraph Topological Subspaces

Author : W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 50,9 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9781599734866

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Strong Neutrosophic Graphs and Subgraph Topological Subspaces by W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache Pdf

In this book authors for the first time introduce the notion of strong neutrosophic graphs. They are very different from the usual graphs and neutrosophic graphs. Using these new structures special subgraph topological spaces are defined. Further special lattice graph of subgraphs of these graphs are defined and described. Several interesting properties using subgraphs of a strong neutrosophic graph are obtained. Several open conjectures are proposed. These new class of strong neutrosophic graphs will certainly find applications in Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM) and Neutrosophic Relational Equations (NRE) with appropriate modifications.

Neutrosophic Sets and Systems, Vol. VIII

Author : Florentin Smarandache, Mumtaz Ali
Publisher : Infinite Study
Page : 70 pages
File Size : 55,5 Mb
Release : 2015-04-01
Category : Electronic
ISBN : 9781599733388

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Neutrosophic Sets and Systems, Vol. VIII by Florentin Smarandache, Mumtaz Ali Pdf

This volume is a collection of ten papers by contributors F. Smarandache, F. Yuhua, K. Mondal, S. Pramanik, S. Broumi, J. Ye, A. A. Salama,, N. Easa, S. A. Elhafez, M. M. Lotfy, L. Kong, Y. Wu, P. Biswas, B. C. Giri, A. Mukkerjee, and S. Sarkar, focusing on a new kind of algebraic structures called (T, I, F)- Neutrosophic Structures; Expanding Uncertainty Principle to Certainty-Uncertainty Principles with Neutrosophy and Quad-stage Methods; Rough Neutrosophic Multi-Attribute Decision-Making Based on Rough Accuracy Score Function; an Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variable; Review of Recommender Systems Algorithms Utilized in Social Networks based e-Learning Systems & Neutrosophic System; Fault Diagnosis Method of Gasoline Engines Using the Cosine Similarity Measure of Neutrosophic Numbers; Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers; Thesis-Antithesis-Neutrothesis, and Neutrosynthesis; Negating Four Color Theorem with Neutrosophy and Quadstage Method; and A new method of measuring similarity between two neutrosophic soft sets and its application in pattern recognition problems.

Neutrosophic Sets and Systems, vol. 8/2015

Author : L. Kong,Y. Wu,J. Ye,F. Smarandache,A. Mukherjee,S. Sarkar,P. Biswas, S. Pramanik
Publisher : Infinite Study
Page : 70 pages
File Size : 53,6 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 8/2015 by L. Kong,Y. Wu,J. Ye,F. Smarandache,A. Mukherjee,S. Sarkar,P. Biswas, S. Pramanik Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Natural Neutrosophic Numbers and MOD Neutrosophic Numbers

Author : W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache
Publisher : Infinite Study
Page : 185 pages
File Size : 43,8 Mb
Release : 2015
Category : Neutrosophic logic
ISBN : 9781599733661

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Natural Neutrosophic Numbers and MOD Neutrosophic Numbers by W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache Pdf

The authors in this book introduce a new class of natural neutrsophic numbers using MOD intervals. These natural MOD neutrosophic numbers behave in a different way for the product of two natural neutrosophic numbers can be neutrosophic zero divisors or idempotents or nilpotents. Several open problems are suggested in this book.

Collected Papers. Volume IX

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1008 pages
File Size : 45,6 Mb
Release : 2022-05-10
Category : Mathematics
ISBN : 8210379456XXX

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Collected Papers. Volume IX by Florentin Smarandache Pdf

This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.

Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 142 pages
File Size : 47,9 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9781599732534

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Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability by Florentin Smarandache Pdf

In this book, we introduce for the first time the notions of neutrosophic measure and neutrosophic integral, and we develop the 1995 notion of neutrosophic probability. We present many practical examples. It is possible to define the neutrosophic measure and consequently the neutrosophic integral and neutrosophic probability in many ways, because there are various types of indeterminacies, depending on the problem we need to solve. Neutrosophics study the indeterminacy. Indeterminacy is different from randomness. It can be caused by physical space materials and type of construction, by items involved in the space, etc.

Symbolic Neutrosophic Theory

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 194 pages
File Size : 46,8 Mb
Release : 2015-10-14
Category : Electronic
ISBN : 9781599733753

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Symbolic Neutrosophic Theory by Florentin Smarandache Pdf

Symbolic (or Literal) Neutrosophic Theory is referring to the use of abstract symbols (i.e. the letters T, I, F, or their refined indexed letters Tj, Ik, Fl) in neutrosophics. In the first chapter we extend the dialectical triad thesis-antithesis-synthesis (dynamics of and , to get a synthesis) to the neutrosophic tetrad thesis-antithesis-neutrothesis-neutrosynthesis (dynamics of , , and , in order to get a neutrosynthesis). In the second chapter we introduce the neutrosophic system and neutrosophic dynamic system. A neutrosophic system is a quasi- or (t,i,f)–classical system, in the sense that the neutrosophic system deals with quasi-terms/concepts/attributes, etc. [or (t,i,f)-terms/concepts/attributes], which are approximations of the classical terms/concepts/attributes, i.e. they are partially true/membership/probable (t), partially indeterminate (i), and partially false/nonmembership/improbable (f), where t, i, f are subsets of the unitary interval [0, 1]. In the third chapter we introduce for the first time the notions of Neutrosophic Axiom, Neutrosophic Deducibility, Neutrosophic Axiomatic System, Degree of Contradiction (Dissimilarity) of Two Neutrosophic Axioms, etc. The fourth chapter we introduced for the first time a new type of structures, called (t, i, f)-Neutrosophic Structures, presented from a neutrosophic logic perspective, and we showed particular cases of such structures in geometry and in algebra. In any field of knowledge, each structure is composed from two parts: a space, and a set of axioms (or laws) acting (governing) on it. If the space, or at least one of its axioms (laws), has some indeterminacy of the form (t, i, f) ≠ (1, 0, 0), that structure is a (t, i, f)-Neutrosophic Structure. In the fifth chapter we make a short history of: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, etc. The aim of this chapter is to construct examples of splitting the literal indeterminacy (I) into literal sub-indeterminacies (I1,I2,…,Ir), and to define a multiplication law of these literal sub-indeterminacies in order to be able to build refined I-neutrosophic algebraic structures. In the sixth chapter we define for the first time three neutrosophic actions and their properties. We then introduce the prevalence order on (T, I, F) with respect to a given neutrosophic operator "o", which may be subjective - as defined by the neutrosophic experts. And the refinement of neutrosophic entities , , and . Then we extend the classical logical operators to neutrosophic literal (symbolic) logical operators and to refined literal (symbolic) logical operators, and we define the refinement neutrosophic literal (symbolic) space. In the seventh chapter we introduce for the first time the neutrosophic quadruple numbers (of the form a+bT+cI+dF) and the refined neutrosophic quadruple numbers. Then we define an absorbance law, based on a prevalence order, both of them in order to multiply the neutrosophic components T, I, F or their sub-components T_j, I_k, F_l and thus to construct the multiplication of neutrosophic quadruple numbers.

Matrix-Based In SuperHyperGraphs

Author : Dr. Henry Garrett
Publisher : Dr. Henry Garrett
Page : 616 pages
File Size : 55,8 Mb
Release : 2023-05-28
Category : Mathematics
ISBN : 8210379456XXX

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Matrix-Based In SuperHyperGraphs by Dr. Henry Garrett Pdf

[ADDRESSED CITATION] [HG174b] Henry Garrett, “Matrix-Based In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7978921). In this scientific research book, there are some scientific research chapters on “Extreme Matrix-Based In SuperHyperGraphs ” and “Neutrosophic Matrix-Based In SuperHyperGraphs ” about some scientific researches on Matrix-Based In SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Matrix-Based In SuperHyperGraphs and Neutrosophic Matrix-Based In SuperHyperGraphs . With scientific researches on the basic properties, the scientific research book starts to make Extreme Matrix-Based In SuperHyperGraphs theory and Neutrosophic Matrix-Based In SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 3230 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4117 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and Matrix-Based In SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf). — — — — 268 Henry Garrett, “New Ideas On Super mat By Hyper matte Of Matrix-Based In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7978857). @ResearchGate: https://www.researchgate.net/publication/371110937 @Scribd: https://www.scribd.com/document/648824640 @ZENODO_ORG: https://zenodo.org/record/7978857 @academia: https://www.academia.edu/102476454 — 268 Henry Garrett, “New Ideas On Super mat By Hyper matte Of Matrix-Based In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7978857). PAGE @facebook : https://www.facebook.com/DrHenryGarrett/posts/pfbid0768FmYrMLfn7EnrUBPaPsZFoWzQw4aXR62EZWkhdXfHMUje7JBDCoQarigrzGiaFl @LinkedIn : https://www.linkedin.com/feed/update/urn:li:ugcPost:7068554738660732928/ — 269 Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Matrix-Based As Hyper mat On Super matte”, Zenodo 2023, (doi: 10.5281/zenodo.7978571). @ResearchGate: https://www.researchgate.net/publication/371110081 @Scribd: https://www.scribd.com/document/648798970 @ZENODO_ORG: https://zenodo.org/record/7978571 @academia: https://www.academia.edu/102468794 — 269 Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Matrix-Based As Hyper mat On Super matte”, Zenodo 2023, (doi: 10.5281/zenodo.7978571). PAGE @facebook : https://www.facebook.com/DrHenryGarrett/posts/pfbid0EMgDPr8Qr64cgQYNYob7DFjAwa4yzDvtBd5Hwu8Bju6MT937XntZkeShiJL3wtYGl @LinkedIn : https://www.linkedin.com/feed/update/urn:li:ugcPost:7068500820371091456/ — -- “Book #174” [ADDRESSED CITATION] [HG174b] Henry Garrett, “Matrix-Based In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7978921). @googlebooks:https://books.google.com/books/about?id=- @GooglePlay:https://play.google.com/store/books/details?id=- @ResearchGate: https://www.researchgate.net/publication/371119205 @WordPress: https://drhenrygarrett.wordpress.com/2023/07/22/Matrix-Based-In-SuperHyperGraphs/ @Scribd: https://www.scribd.com/document/648843502 @ZENODO_ORG: https://zenodo.org/record/7978921 @academia:https://www.academia.edu/102481462 Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle -- Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — — — “Book #174” [ADDRESSED CITATION] [HG174b] Henry Garrett, “Matrix-Based In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7978921). #Link (KE): https://www.amazon.com/dp/- (SC): https://www.amazon.com/dp/- (HC): https://www.amazon.com/dp/- #ISBN CC BY-NC-ND 4.0 - - — Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % line numbers \usepackage[right]{lineno} % improves typesetting in LaTeX \usepackage{microtype} \DisableLigatures[f]{encoding = *, family = * } % text layout - change as needed \raggedright \setlength{\parindent}{0.5cm} \textwidth 5.25in \textheight 8.79in % Remove % for double line spacing %\usepackage{setspace} %\doublespacing % use adjustwidth environment to exceed text width (see examples in text) \usepackage{changepage} % adjust caption style \usepackage[aboveskip=1pt,labelfont=bf,labelsep=period,singlelinecheck=off]{caption} % remove brackets from references \makeatletter \renewcommand{\@biblabel}[1]{\quad#1.} \makeatother % headrule, footrule and page numbers \usepackage{lastpage,fancyhdr,graphicx} \usepackage{epstopdf} \pagestyle{myheadings} \pagestyle{fancy} \fancyhf{} \rfoot{\thepage/\pageref{LastPage}} \renewcommand{\footrule}{\hrule height 2pt \vspace{2mm}} \fancyheadoffset[L]{2.25in} \fancyfootoffset[L]{2.25in} % use \textcolor{color}{text} for colored text (e.g. highlight to-do areas) \usepackage{color} % define custom colors (this one is for figure captions) \definecolor{Gray}{gray}{.25} % this is required to include graphics \usepackage{graphicx} % use if you want to put caption to the side of the figure - see example in text \usepackage{sidecap} \usepackage{leftidx} % use for have text wrap around figures \usepackage{wrapfig} \usepackage[pscoord]{eso-pic} \usepackage[fulladjust]{marginnote} \reversemarginpar \newtheorem{theorem}{Theorem}[section] \newtheorem{lemma}[theorem]{Lemma} \newtheorem{proposition}[theorem]{Proposition} \newtheorem{corollary}[theorem]{Corollary} \theoremstyle{definition} \newtheorem{definition}[theorem]{Definition} \newtheorem{example}[theorem]{Example} \newtheorem{xca}[theorem]{Exercise} \theoremstyle{remark} \newtheorem{remark}[theorem]{Remark} \theoremstyle{observation} \newtheorem{observation}[theorem]{Observation} \theoremstyle{question} \newtheorem{question}[theorem]{Question} \theoremstyle{problem} \newtheorem{problem}[theorem]{Problem} \numberwithin{equation}{section} \usepackage{fancyhdr} \pagestyle{fancy} \fancyhf{} \fancyhead[LE,RO]{Henry Garrett · Independent Researcher · Department of Mathematics · [email protected] · Manhattan, NY, USA } \fancyfoot[LE,RO]{Henry Garrett · Independent Researcher · Department of Mathematics · [email protected] · Manhattan, NY, USA } % document begins here \begin{document} \vspace*{0.35in} \linenumbers % title goes here: \begin{flushleft} {\Large \textbf\newline{ Background } } \newline \newline Henry Garrett · Independent Researcher · Department of Mathematics · [email protected] · Manhattan, NY, USA % authors go here: \end{flushleft} \section{ABSTRACT} \newpage \section*{Background} There are some scientific researches covering the topic of this research. In what follows, there are some discussion and literature reviews about them. \\ The seminal paper and groundbreaking article is titled ``\textit{Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes}'' in \textbf{Ref.} \cite{HG1} by Henry Garrett (2022). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental SuperHyperNumber and using neutrosophic SuperHyperClasses of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 1 and issue 3 with pages 242-263. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ The seminal paper and groundbreaking article is titled ``\textit{Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments}'' in \textbf{Ref.} \cite{HG2} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental notions and using vital tools in Cancer’s Treatments. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 2 and issue 1 with pages 35-47. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ The seminal paper and groundbreaking article is titled ``\textit{A Research on Cancer's Recognition and Neutrosophic Super Hypergraph by Eulerian Super Hyper Cycles and Hamiltonian Sets as Hyper Covering Versus Super separations}'' in \textbf{Ref.} \cite{HG3} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental notions and using vital tools in Cancer’s Recognition. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 2 and issue 3 with pages 136-148. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ The seminal paper and groundbreaking article is titled ``\textit{neutrosophic co-degree and neutrosophic degree alongside chromatic numbers in the setting of some classes related to neutrosophic hypergraphs}'' in \textbf{Ref.} \cite{HG93} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on general forms without using neutrosophic classes of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “\textit{Journal of Current Trends in Computer Science Research (JCTCSR)}” with ISO abbreviation ``\textit{J Curr Trends Comp Sci Res}'' in volume 2 and issue 1 with pages 16-24. The research article studies deeply with choosing neutrosophic hypergraphs instead of neutrosophic SuperHyperGraph. It's the breakthrough toward independent results based on initial background. In some articles are titled ``\textit{0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph}'' in \textbf{Ref.} \cite{HG4} by Henry Garrett (2022), ``\textit{0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs}'' in \textbf{Ref.} \cite{HG5} by Henry Garrett (2022), ``\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG6} by Henry Garrett (2022), ``\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}'' in \textbf{Ref.} \cite{HG7} by Henry Garrett (2022), ``\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG8} by Henry Garrett (2022), ``\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}'' in \textbf{Ref.} \cite{HG9} by Henry Garrett (2022), ``\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG10} by Henry Garrett (2022), ``\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG11} by Henry Garrett (2022), ``\textit{Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG13} by Henry Garrett (2022), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG14} by Henry Garrett (2022), ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'' in \textbf{Ref.} \cite{HG15} by Henry Garrett (2022), ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs }'' in \textbf{Ref.} \cite{HG16} by Henry Garrett (2022), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG17} by Henry Garrett (2022), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG18} by Henry Garrett (2022),``\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}'' in \textbf{Ref.} \cite{HG19} by Henry Garrett (2022), ``\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}'' in \textbf{Ref.} \cite{HG20} by Henry Garrett (2022), ``\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}'' in \textbf{Ref.} \cite{HG21} by Henry Garrett (2022), ``\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}'' in \textbf{Ref.} \cite{HG22} by Henry Garrett (2022), ``\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}'' in \textbf{Ref.} \cite{HG23} by Henry Garrett (2022), ``\textit{SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG24} by Henry Garrett (2023), ``\textit{The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG25} by Henry Garrett (2023), ``\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG26} by Henry Garrett (2023), ``\textit{Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG27} by Henry Garrett (2023), ``\textit{Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG28} by Henry Garrett (2023), ``\textit{Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique}'' in \textbf{Ref.} \cite{HG29} by Henry Garrett (2023), ``\textit{Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG30} by Henry Garrett (2023), ``\textit{Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG31} by Henry Garrett (2023), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG32} by Henry Garrett (2023), ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG33} by Henry Garrett (2023), ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'' in \textbf{Ref.} \cite{HG34} by Henry Garrett (2022), ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG35} by Henry Garrett (2022), ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG36} by Henry Garrett (2022), ``\textit{Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph}'' in \textbf{Ref.} \cite{HG37} by Henry Garrett (2022), ``\textit{Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)}'' in \textbf{Ref.} \cite{HG38} by Henry Garrett (2022), and \cite{HG4,HG5,HG6,HG7,HG8,HG9,HG10,HG11,HG12,HG13,HG14,HG15,HG16,HG17,HG18,HG19,HG20,HG21,HG22,HG23,HG24,HG25,HG26,HG27,HG28,HG29,HG30,HG31,HG32,HG33,HG34,HG35,HG36,HG37,HG38,HG94,HG942,HG95,HG952,HG96,HG962,HG97,HG972,HG98,HG982,HG106,HG107,HG111,HG112,HG115,HG116,HG120,HG121,HG122,HG123,HG124,HG125,HG126,HG127,HG128,HG129,HG130,HG131,HG132,HG134,HG135,HG136,HG137,HG138,HG139,HG140,HG141,HG142,HG143,HG144,HG145,HG146,HG147,HG148,HG149,HG150,HG151,HG152,HG153,HG154,HG155,HG156,HG157,HG158,HG159,HG160,HG161,HG162,HG163,HG164,HG165,HG166,HG167,HG168,HG169,HG170,HG171,HG172,HG173,HG174,HG175,HG176,HG177,HG178,HG179,HG180,HG181,HG182,HG183,HG184,HG185,HG186,HG187,HG188,HG189,HG190,HG191,HG192,HG193,HG194,HG195,HG196,HG197,HG198,HG199,HG200,HG201,HG202,HG203,HG204,HG205,HG206,HG207,HG208,HG209,HG210,HG211,HG212,HG213,HG214,HG215,HG93,HG217,HG218,HG219,HG220,HG221,HG222,HG223,HG224,HG225,HG226,HG228,HG230,HG231,HG232,HG233,HG234,HG235,HG236,HG237,HG238,HG239,HG240,HG241,HG242,HG243,HG244,HG245,HG246,HG247,HG248,HG249,HG250,HG251,HG252,HG253,HG254,HG255,HG256,HG257,HG258,HG259,HG260,HG261,HG262,HG263,HG264,HG265,HG266,HG267,HG268,HG269}, there are some endeavors to formalize the basic SuperHyperNotions about neutrosophic SuperHyperGraph and SuperHyperGraph alongside scientific research books at \cite{HG60b,HG61b,HG62b,HG63b,HG64b,HG65b,HG66b,HG67b,HG68b,HG69b,HG70b,HG71b,HG72b,HG73b,HG74b,HG75b,HG76b,HG77b,HG78b,HG79b,HG80b,HG81b,HG82b,HG83b,HG84b,HG85b,HG86b,HG87b,HG88b,HG89b,HG90b,HG91b,HG92b,HG93b,HG94b,HG95b,HG96b,HG97b,HG98b,HG99b,HG100b,HG101b,HG102b,HG103b,HG104b,HG105b,HG106b,HG107b,HG108b,HG109b,HG110b,HG111b,HG112b,HG113b,HG114b,HG115b,HG116b,HG117b,HG118b,HG119b,HG120b,HG121b,HG122b,HG123b,HG124b,HG125b,HG126b,HG127b,HG128b,HG129b,HG130b,HG131b,HG132b,HG133b,HG134b,HG135b,HG136b,HG137b,HG138b,HG139b,HG140b,HG141b,HG142b,HG143b,HG144b,HG145b,HG146b,HG147b,HG148b,HG149b,HG150b,HG151b,HG152b,HG153b,HG154b,HG155b,HG156b,HG157b,HG158b,HG159b,HG160b,HG161b,HG162b,HG163b,HG164b,HG165b,HG166b,HG167b,HG168b,HG169b,HG170b,HG171b,HG172b,HG173b,HG174b}. Two popular scientific research books in Scribd in the terms of high readers, 4190 and 5189 respectively, on neutrosophic science is on \cite{HG32b,HG44b}. \\ Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG32b} by Henry Garrett (2023) which is indexed by Google Scholar and has more than 4331 readers in Scribd. It's titled ``\textit{Beyond Neutrosophic Graphs}'' and published by Dr. Henry Garrett. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. \\ Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG44b} by Henry Garrett (2023) which is indexed by Google Scholar and has more than 5327 readers in Scribd. It's titled ``\textit{Neutrosophic Duality}'' and published by Dr. Henry Garrett. This research book presents different types of notions SuperHyperResolving and SuperHyperDominating in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It's smart to consider a set but acting on its complement that what's done in this research book which is popular in the terms of high readers in Scribd. \\ See the seminal scientific researches \cite{HG1,HG2,HG3}. The formalization of the notions on the framework of notions in SuperHyperGraphs, Neutrosophic notions in SuperHyperGraphs theory, and (Neutrosophic) SuperHyperGraphs theory at \cite{HG4,HG5,HG6,HG7,HG8,HG9,HG10,HG11,HG12,HG13,HG14,HG15,HG16,HG17,HG18,HG19,HG20,HG21,HG22,HG23,HG24,HG25,HG26,HG27,HG28,HG29,HG30,HG31,HG32,HG33,HG34,HG35,HG36,HG37,HG38,HG94,HG942,HG95,HG952,HG96,HG962,HG97,HG972,HG98,HG982,HG106,HG107,HG111,HG112,HG115,HG116,HG120,HG121,HG122,HG123,HG124,HG125,HG126,HG127,HG128,HG129,HG130,HG131,HG132,HG134,HG135,HG136,HG137,HG138,HG139,HG140,HG141,HG142,HG143,HG144,HG145,HG146,HG147,HG148,HG149,HG150,HG151,HG152,HG153,HG154,HG155,HG156,HG157,HG158,HG159,HG160,HG161,HG162,HG163,HG164,HG165,HG166,HG167,HG168,HG169,HG170,HG171,HG172,HG173,HG174,HG175,HG176,HG177,HG178,HG179,HG180,HG181,HG182,HG183,HG184,HG185,HG186,HG187,HG188,HG189,HG190,HG191,HG192,HG193,HG194,HG195,HG196,HG197,HG198,HG199,HG200,HG201,HG202,HG203,HG204,HG205,HG206,HG207,HG208,HG209,HG210,HG211,HG212,HG213,HG214,HG215,HG93,HG217,HG218,HG219,HG220,HG221,HG222,HG223,HG224,HG225,HG226,HG228,HG230,HG231,HG232,HG233,HG234,HG235,HG236,HG237,HG238,HG239,HG240,HG241,HG242,HG243,HG244,HG245,HG246,HG247,HG248,HG249,HG250,HG251,HG252,HG253,HG254,HG255,HG256,HG257,HG258,HG259,HG260,HG261,HG262,HG263,HG264,HG265,HG266,HG267,HG268,HG269} alongside scientific research books at \cite{HG60b,HG61b,HG62b,HG63b,HG64b,HG65b,HG66b,HG67b,HG68b,HG69b,HG70b,HG71b,HG72b,HG73b,HG74b,HG75b,HG76b,HG77b,HG78b,HG79b,HG80b,HG81b,HG82b,HG83b,HG84b,HG85b,HG86b,HG87b,HG88b,HG89b,HG90b,HG91b,HG92b,HG93b,HG94b,HG95b,HG96b,HG97b,HG98b,HG99b,HG100b,HG101b,HG102b,HG103b,HG104b,HG105b,HG106b,HG107b,HG108b,HG109b,HG110b,HG111b,HG112b,HG113b,HG114b,HG115b,HG116b,HG117b,HG118b,HG119b,HG120b,HG121b,HG122b,HG123b,HG124b,HG125b,HG126b,HG127b,HG128b,HG129b,HG130b,HG131b,HG132b,HG133b,HG134b,HG135b,HG136b,HG137b,HG138b,HG139b,HG140b,HG141b,HG142b,HG143b,HG144b,HG145b,HG146b,HG147b,HG148b,HG149b,HG150b,HG151b,HG152b,HG153b,HG154b,HG155b,HG156b,HG157b,HG158b,HG159b,HG160b,HG161b,HG162b,HG163b,HG164b,HG165b,HG166b,HG167b,HG168b,HG169b,HG170b,HG171b,HG172b,HG173b,HG174b}. Two popular scientific research books in Scribd in the terms of high readers, 4331 and 5327 respectively, on neutrosophic science is on \cite{HG32b,HG44b}. \begin{thebibliography}{595} \bibitem{HG1} Henry Garrett, “\textit{Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes}”, J Math Techniques Comput Math 1(3) (2022) 242-263. (doi: 10.33140/JMTCM.01.03.09) \bibitem{HG2} Henry Garrett, “\textit{Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments}”, J Math Techniques Comput Math 2(1) (2023) 35-47. (https://www.opastpublishers.com/open-access-articles/some-super-hyper-degrees-and-cosuper-hyper-degrees-on-neutrosophic-super-hyper-graphs-and-super-hyper-graphs-alongside-a.pdf) \bibitem{HG3} Henry Garrett, “\textit{A Research on Cancer's Recognition and Neutrosophic Super Hypergraph by Eulerian Super Hyper Cycles and Hamiltonian Sets as Hyper Covering Versus Super separations}”, J Math Techniques Comput Math 2(3) (2023) 136-148. (https://www.opastpublishers.com/open-access-articles/a-research-on-cancers-recognition-and-neutrosophic-super-hypergraph-by-eulerian-super-hyper-cycles-and-hamiltonian-sets-.pdf) \bibitem{HG93} Henry Garrett, ``\textit{Neutrosophic Co-degree and Neutrosophic Degree alongside Chromatic Numbers in the Setting of Some Classes Related to Neutrosophic Hypergraphs}'', J Curr Trends Comp Sci Res 2(1) (2023) 16-24. (https://www.opastpublishers.com/open-access-articles/neutrosophic-codegree-and-neutrosophic-degree-alongside-chromatic-numbers-in-the-setting-of-some-classes-related-to-neut.pdf) \bibitem{HG4} Garrett, Henry. ``\textit{0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph.}'' CERN European Organization for Nuclear Research - Zenodo, Nov. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.5281/zenodo.6319942. https://oa.mg/work/10.5281/zenodo.6319942 \bibitem{HG5} Garrett, Henry. ``\textit{0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs.}'' CERN European Organization for Nuclear Research - Zenodo, Feb. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.13140/rg.2.2.35241.26724. https://oa.mg/work/10.13140/rg.2.2.35241.26724 \bibitem{HG6} Henry Garrett, ``\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1). \bibitem{HG7} Henry Garrett, ``\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}'', Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1). \bibitem{HG8} Henry Garrett, ``\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1). \bibitem{HG9} Henry Garrett, ``\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}'', Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1). \bibitem{HG10} Henry Garrett, ``\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1). \bibitem{HG11} Henry Garrett, ``\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1). \bibitem{HG12} Henry Garrett, ``\textit{Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1). \bibitem{HG13} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG14} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG15} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', Preprints 2023, 2023010044 \bibitem{HG16} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1). \bibitem{HG17} Henry Garrett, \textit{``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}''}, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG18} Henry Garrett, \textit{``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}''}, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG19} Henry Garrett, \textit{``\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}''}, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1). \bibitem{HG20} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}'', Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1). \bibitem{HG21} Henry Garrett, ``\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}'', Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1). \bibitem{HG22} Henry Garrett, ``\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}'', Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1). \bibitem{HG23} Henry Garrett, ``\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}'', Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1). \bibitem{HG269} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Matrix-Based As Hyper mat On Super matte”, Zenodo 2023, (doi: 10.5281/zenodo.7978571). \bibitem{HG268} Henry Garrett, “New Ideas On Super mat By Hyper matte Of Matrix-Based In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7978857). \bibitem{HG267} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Dominating-Edges As Hyper Dome On Super Eddy”, Zenodo 2023, (doi: 10.5281/zenodo.7940830). \bibitem{HG266} Henry Garrett, “New Ideas On Super Eddy By Hyper Dome Of Dominating-Edges In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7943578). \bibitem{HG265} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Edge-Gap As Hyper Gape On Super Gab”, Zenodo 2023, (doi: 10.5281/zenodo.7916595). \bibitem{HG264} Henry Garrett, “New Ideas On Super Gab By Hyper Gape Of Edge-Gap In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7923632). \bibitem{HG263} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Cycle-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7904698). \bibitem{HG262} Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Type-Cycle-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7904671). \bibitem{HG261} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Cycle-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi: 10.5281/zenodo.7904529). \bibitem{HG260} Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Type-Cycle-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7904401). \bibitem{HG259} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Cycle-Cut As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7871026). \bibitem{HG258} Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Type-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7874647). \bibitem{HG257} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7857856). \bibitem{HG256} Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Cycle-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7857841). \bibitem{HG255} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi: 10.5281/zenodo.7855661). \bibitem{HG254} Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Cycle-Decomposition In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7855637). \bibitem{HG253} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Cut As Hyper Eulogy On Super EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7853867). \bibitem{HG252} Henry Garrett, “\textit{New Ideas On Super EULA By Hyper Eulogy Of Eulerian-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7853922). \bibitem{HG251} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Path-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7851519). \bibitem{HG250} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Type-Path-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7851550). \bibitem{HG249} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Path-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7839333). \bibitem{HG248} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Type-Path-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7840206). \bibitem{HG247} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Path-Cut As Hyper Eulogy On Super EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7834229). \bibitem{HG246} Henry Garrett, “\textit{New Ideas On Super EULA By Hyper Eulogy Of Eulerian-Type-Path-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7834261). \bibitem{HG245} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7824560). \bibitem{HG244} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Path-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7824623). \bibitem{HG243} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7819531). \bibitem{HG242} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Path-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7819579). \bibitem{HG241} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph As Hyper Tool On Super Toot}”, Zenodo 2023, (doi: 10.5281/zenodo.7812236). \bibitem{HG240} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By initial Eulerian-Path-Cut As Hyper initial Eulogy On Super initial EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7809365). \bibitem{HG239} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Cut As Hyper Eulogy-Path-Cut On Super EULA-Path-Cut}”, Zenodo 2023, (doi: 10.5281/zenodo.7809358). \bibitem{HG238} Henry Garrett, “\textit{New Ideas On Super EULA By Hyper Eulogy Of Eulerian-Path-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7809219). \bibitem{HG237} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Cut As Hyper Eulogy On Super EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7809328). \bibitem{HG236} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7806767). \bibitem{HG235} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Hamiltonian-Type-Cycle-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7806838). \bibitem{HG234} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7804238). \bibitem{HG233} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Hamiltonian-Type-Cycle-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7804228). \bibitem{HG232} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Cut As Hyper Hamper On Super Hammy}”, Zenodo 2023, (doi: 10.5281/zenodo.7799902). \bibitem{HG231} Henry Garrett, “\textit{New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Type-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7804218). \bibitem{HG230} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7796334). \bibitem{HG228} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7793372). \bibitem{HG226} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Cut As Hyper Hamper On Super Hammy}”, Zenodo 2023, (doi: 10.5281/zenodo.7791952). \bibitem{HG225} Henry Garrett, “\textit{New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7791982). \bibitem{HG224} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7790026). \bibitem{HG223} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Hamiltonian-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7790052). \bibitem{HG222} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7787066). \bibitem{HG221} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Hamiltonian-Decomposition In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7787094). \bibitem{HG220} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cut As Hyper Hamper On Super Hammy}”, Zenodo 2023, (doi: 10.5281/zenodo.7781476). \bibitem{HG219} Henry Garrett, “\textit{New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7783082). \bibitem{HG218} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Trace-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7777857). \bibitem{HG217} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Trace-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7779286). \bibitem{HG215} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7771831). \bibitem{HG214} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Trace-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7772468). \bibitem{HG213} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Cut As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.20913.25446). \bibitem{HG212} Henry Garrett, “\textit{New Ideas On Super Tract By Hyper Track Of Trace-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7764916). \bibitem{HG211} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Neighbor As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11770.98247). \bibitem{HG210} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Edge-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.12400.12808). \bibitem{HG209} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Decomposition As Hyper Decompress On Super Decompensation}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22545.10089). \bibitem{HG208} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Edge-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29544.34564). \bibitem{HG207} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Cut As Hyper Edify On Super Eddy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11377.76644). \bibitem{HG206} Henry Garrett, “\textit{New Ideas On Super Eddy By Hyper Edify Of Edge-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23750.96329). \bibitem{HG205} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Neighbor As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31366.24641). \bibitem{HG204} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Vertex-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34721.68960). \bibitem{HG203} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Decomposition As Hyper Decompress On Super Decompensation}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30212.81289). \bibitem{HG202} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Vertex-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18468.76169). \bibitem{HG201} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Cut As Hyper Vertu On Super Vertigo}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.24288.35842). \bibitem{HG200} Henry Garrett, “\textit{New Ideas On Super Vertigo By Hyper Vertu Of Vertex-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32467.25124). \bibitem{HG199} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Neighbor As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31025.45925). \bibitem{HG198} Henry Garrett, “\textit{New Ideas On Super Nebulizer By Hyper Nub Of Stable-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17184.25602). \bibitem{HG197} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Decompositions As Hyper Stain On Super Stagy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23423.28327). \bibitem{HG196} Henry Garrett, “\textit{New Ideas On Super Stale By Hyper Stalk Of Stable-Decompositions In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.28456.44805). \bibitem{HG195} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Cut As Hyper Stain On Super Stagy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23525.68320). \bibitem{HG194} Henry Garrett, “\textit{New Ideas On Super Stale By Hyper Stalk Of Stable-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.20170.24000). \bibitem{HG193} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Clique-Neighbors As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.36475.59683). \bibitem{HG192} Henry Garrett, “\textit{New Ideas On Super Nebulizer By Hyper Nub Of Clique-Neighbors In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29764.71046). \bibitem{HG191} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Clique-Decompositions As Hyper Decompile On Super Decommission}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18780.87683). \bibitem{HG190} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Clique- Decompositions In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.27169.48487). \bibitem{HG189} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Clique-Cut As Hyper Click On Super Cliche}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.26134.01603). \bibitem{HG188} Henry Garrett, “\textit{New Ideas On Super Cliff By Hyper Cling Of Clique-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.27392.30721). \bibitem{HG187} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Space As Hyper Spin On Super Spacy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33028.40321). \bibitem{HG186} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By List- Coloring As Hyper List On Super Lisle}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21389.20966). \bibitem{HG185} Henry Garrett, “\textit{New Ideas On Super Lith By Hyper Lite Of List-Coloring In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.16356.04489). \bibitem{HG184} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Space As Hyper Sparse On Super Spark}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21756.21129). \bibitem{HG183} Henry Garrett, “\textit{New Ideas On Super Solidarity By Hyper Soul Of Space In Cancer's Recognition With (Extreme) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30983.68009). \bibitem{HG182} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Connectivity As Hyper Disclosure On Super Closure}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.28552.29445). \bibitem{HG181} Henry Garrett, “\textit{New Ideas On Super Uniform By Hyper Deformation Of Edge-Connectivity In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.10936.21761). \bibitem{HG180} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Connectivity As Hyper Leak On Super Structure}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35105.89447). \bibitem{HG179} Henry Garrett, “\textit{New Ideas On Super System By Hyper Explosions Of Vertex-Connectivity In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30072.72960). \bibitem{HG178} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Tree-Decomposition As Hyper Forward On Super Returns}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31147.52003). \bibitem{HG177} Henry Garrett, “\textit{New Ideas On Super Nodes By Hyper Moves Of Tree-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32825.24163). \bibitem{HG176} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Chord As Hyper Excellence On Super Excess}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13059.58401). \bibitem{HG175} Henry Garrett, “\textit{New Ideas On Super Gap By Hyper Navigations Of Chord In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11172.14720). \bibitem{HG174} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyper(i,j)-Domination As Hyper Controller On Super Waves}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22011.80165). \bibitem{HG173} Henry Garrett, “\textit{New Ideas On Super Coincidence By Hyper Routes Of SuperHyper(i,j)-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30819.84003). \bibitem{HG172} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperEdge-Domination As Hyper Reversion On Super Indirection}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.10493.84962). \bibitem{HG171} Henry Garrett, “\textit{New Ideas On Super Obstacles By Hyper Model Of SuperHyperEdge-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13849.29280). \bibitem{HG170} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Domination As Hyper k-Actions On Super Patterns}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19944.14086). \bibitem{HG169} Henry Garrett, “\textit{New Ideas On Super Harmony By Hyper k-Function Of SuperHyperK-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23299.58404). \bibitem{HG168} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Number As Hyper k-Partition On Super Layers}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33103.76968). \bibitem{HG167} Henry Garrett, “\textit{New Ideas On Super Gradient By Hyper k-Class Of SuperHyperK-Number In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23037.44003). \bibitem{HG166} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperOrder As Hyper Enumerations On Super Landmarks}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35646.56641). \bibitem{HG165} Henry Garrett, “\textit{New Ideas On Super Analogous By Hyper Visions Of SuperHyperOrder In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18030.48967). \bibitem{HG164} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperColoring As Hyper Categories On Super Neighbors}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13973.81121). \bibitem{HG163} Henry Garrett, “\textit{New Ideas On Super Relations By Hyper Identifications Of SuperHyperColoring In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34106.47047). \bibitem{HG162} Henry Garrett, “\textit{New Ideas On Super Contradiction By Hyper Detection of SuperHyperDefensive In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13397.09446). \bibitem{HG161} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperDimension As Hyper Distinguishing On Super Distances}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31956.88961). \bibitem{HG160} Henry Garrett, “\textit{New Ideas On Super Locations By Hyper Differing Of SuperHyperDimension In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.15179.67361). \bibitem{HG159} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperDominating As Hyper Closing On Super Messy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21510.45125). \bibitem{HG158} Henry Garrett, “\textit{New Ideas On Super Missing By Hyper Searching Of SuperHyperDominating In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13121.84321). \bibitem{HG157} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperConnected As Hyper Group On Super Surge}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11758.69441). \bibitem{HG156} Henry Garrett, “\textit{New Ideas On Super Outbreak By Hyper Collections Of SuperHyperConnected In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31891.35367). \bibitem{HG155} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperTotal As Hyper Covering On Super Infections}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19360.87048). \bibitem{HG154} Henry Garrett, “\textit{New Ideas On Super Extremism By Hyper Treatments Of SuperHyperTotal In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32363.21286). \bibitem{HG153} Henry Garrett, “\textit{New Ideas On Super Isolation By Hyper Perfectness Of SuperHyperPerfect In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23266.81602). \bibitem{HG152} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperPerfect As Hyper Idealism On Super Vacancy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19911.37285). \bibitem{HG151} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperJoin As Hyper Separations On Super Sorts}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11050.90569). \bibitem{HG150} Henry Garrett, “\textit{New Ideas On Super connections By Hyper disconnections Of SuperHyperJoin In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17761.79206). \bibitem{HG149} Henry Garrett, “\textit{New Ideas On Super Mixed-Devastations By Hyper Decisions Of SuperHyperDuality In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34953.52320). \bibitem{HG148} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By SuperHyperDuality As Hyper Imaginations On Super Mixed-Illustrations}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33275.80161). \bibitem{HG147} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By Path SuperHyperColoring As Hyper Correction On Super Faults}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30182.50241). \bibitem{HG146} Henry Garrett, “\textit{New Ideas On Super Reflections By Hyper Rotations Of Path SuperHyperColoring In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33459.30243). \bibitem{HG145} Henry Garrett, “\textit{New Ideas As Hyper Deformations On Super Chains In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph By SuperHyperDensity}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13444.60806). \bibitem{HG144} Henry Garrett, “\textit{New Ideas As Hyper Ignorance By SuperHyperDensity On Super Resistances In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi:10.13140/RG.2.2.16800.05123). \bibitem{HG143} Henry Garrett, “\textit{New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-VI}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29913.80482). \bibitem{HG142} Henry Garrett, “\textit{New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-V}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33269.24809). \bibitem{HG141} Henry Garrett, “\textit{New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-IV}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34946.96960). \bibitem{HG140} Henry Garrett, “\textit{A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-III}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.14814.31040). \bibitem{HG139} Henry Garrett, “\textit{A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-II}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.15653.17125). \bibitem{HG138} Henry Garrett, “\textit{A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-I}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.25719.50089). \bibitem{HG137} Henry Garrett, “\textit{New Ideas On Super Disruptions In Cancer’s Extreme Recognition As Neutrosophic SuperHyperGraph By Hyper Plans Called SuperHyperConnectivities}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29441.94562). \bibitem{HG136} Henry Garrett, “\textit{Cancer’s Neutrosophic Recognition As Neutrosophic SuperHyperGraph By SuperHyperConnectivities As Hyper Diagnosis On Super Mechanism}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17252.24968). \bibitem{HG135} Henry Garrett,“\textit{Cancer’s Recognition and (Neutrosophic) SuperHyperGraph By the Criteria of Eulerian and Hamiltonian Type-Sets As Hyper Modified Cycles On Super Mess}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.16652.59525). \bibitem{HG134} Henry Garrett,“\textit{Eulerian and Hamiltonian In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph On Super Interactions By Hyper Extensions of Cycles}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.34583.24485). \bibitem{HG132} Henry Garrett,“\textit{SuperHyperGirth Type-Results on extreme SuperHyperGirth theory and (Neutrosophic) SuperHyperGraphs Toward Cancer’s extreme Recognition}”, Preprints 2023, 2023010396 (doi: 10.20944/preprints202301.0396.v1). \bibitem{HG131} Henry Garrett,“\textit{Neutrosophic SuperHyperGraphs Warns Hyper Landmark of neutrosophic SuperHyperGirth In Super Type-Versions of Cancer’s neutrosophic Recognition}”, Preprints 2023, 2023010395 (doi: 10.20944/preprints202301.0395.v1). \bibitem{HG130} Henry Garrett,“\textit{The Constructions of (Neutrosophic) SuperHyperGraphs on the Cancer’s Recognition in The Confrontation With Super Attacks In Hyper Situations By Implementing (Neutrosophic) 1-Failed SuperHyperForcing in The Technical Approaches to Neutralize SuperHyperViews}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.26240.51204). \bibitem{HG129} Henry Garrett,“\textit{(Neutrosophic) 1-Failed SuperHyperForcing As the Entrepreneurs on Cancer’s Recognitions To Fail Forcing Style As the Super Classes With Hyper Effects In The Background of the Framework is So-Called (Neutrosophic) SuperHyperGraphs}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.12818.73925). \bibitem{HG128} Henry Garrett,“\textit{Super Actions On The Types of Hyper Levels In The Sensible Neutrosophic SuperHyperGirth On Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.26836.88960). \bibitem{HG127} Henry Garrett,“\textit{SuperHyperGirth Approaches on the Super Challenges on the Cancer’s Recognition In the Hyper Model of (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.36745.93289). \bibitem{HG126} Henry Garrett,“\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1). \bibitem{HG125} Henry Garrett,“\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}”, Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1). \bibitem{HG124} Henry Garrett,“\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}”, Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1).). \bibitem{HG123} Henry Garrett, “\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}”, Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1). \bibitem{HG122} Henry Garrett,“\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1). \bibitem{HG121} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}”, Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1). \bibitem{HG120} Henry Garrett, “\textit{Extremism of the Attacked Body Under the Cancer’s Circumstances Where Cancer’s Recognition Titled (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1). \bibitem{HG24} Henry Garrett,``\textit{SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs}'', ResearchGate 2023,(doi: 10.13140/RG.2.2.35061.65767). \bibitem{HG25} Henry Garrett,``\textit{The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.18494.15680). \bibitem{HG26} Henry Garrett,``\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922). \bibitem{HG27} Henry Garrett,``\textit{Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.15897.70243). \bibitem{HG116} Henry Garrett,“\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer’s Recognition in the Perfect Connections of Cancer’s Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922). \bibitem{HG115} Henry Garrett, “\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG28} Henry Garrett,``\textit{Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.30092.80004). \bibitem{HG29} Henry Garrett,``\textit{Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.23172.19849). \bibitem{HG112} Henry Garrett, “\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG111} Henry Garrett, “\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}”, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG30} Henry Garrett,``\textit{Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.17385.36968). \bibitem{HG107} Henry Garrett, “\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}”, Preprints 2023, 2023010044 \bibitem{HG106} Henry Garrett, “\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1). \bibitem{HG31} Henry Garrett, ``\textit{Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.28945.92007). \bibitem{HG32} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.11447.80803). \bibitem{HG33} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.35774.77123). \bibitem{HG34} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.36141.77287). \bibitem{HG35} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.29430.88642). \bibitem{HG36} Henry Garrett, ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.11369.16487). \bibitem{HG982} Henry Garrett, “\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}”, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1). \bibitem{HG98} Henry Garrett, “\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}”, ResearchGate 2022, (doi: 10.13140/RG.2.2.19380.94084). \bibitem{HG972} Henry Garrett, “\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}”, Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1). \bibitem{HG97} Henry Garrett, “\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}”, ResearchGate 2022, (doi: 10.13140/RG.2.2.14426.41923). \bibitem{HG962} Henry Garrett, “\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}”, Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1). \bibitem{HG96} Henry Garrett, “\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}”, ResearchGate 2022 (doi: 10.13140/RG.2.2.20993.12640). \bibitem{HG952} Henry Garrett,“\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}”, Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1). \bibitem{HG95} Henry Garrett, “\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs And SuperHyperGraphs Alongside Applications in Cancer’s Treatments}”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23123.04641). \bibitem{HG942} Henry Garrett, “\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}”, Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1). \bibitem{HG94} Henry Garrett, “\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23324.56966). \bibitem{HG37} Henry Garrett, \textit{``\textit{Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph}''}, ResearchGate 2022 (doi: 10.13140/RG.2.2.29173.86244). \bibitem{HG38} Henry Garrett, ``\textit{Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)}'', ResearchGate 2022 (doi: 10.13140/RG.2.2.25385.88160). \bibitem{HG174b} Henry Garrett, “Matrix-Based In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7978921). \bibitem{HG173b} Henry Garrett, “Collections of Math II”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7943878). \bibitem{HG172b} Henry Garrett, “Dominating-Edges In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7943871). \bibitem{HG171b} Henry Garrett, “Edge-Gap In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7923786). \bibitem{HG170b} Henry Garrett, “Eulerian-Type-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7905287). \bibitem{HG169b} Henry Garrett, “Eulerian-Type-Cycle-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7904586). \bibitem{HG168b} Henry Garrett, “Eulerian-Type-Cycle-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7874677). \bibitem{HG167b} Henry Garrett, “Eulerian-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7857906). \bibitem{HG166b} Henry Garrett, “Eulerian-Cycle-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7856329). \bibitem{HG165b} Henry Garrett, “\textit{Eulerian-Cycle-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7854561). \bibitem{HG164b} Henry Garrett, “\textit{Eulerian-Type-Path-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7851893). \bibitem{HG163b} Henry Garrett, “\textit{Eulerian-Type-Path-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7848019). \bibitem{HG162b} Henry Garrett, “\textit{Eulerian-Type-Path-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7835063). \bibitem{HG161b} Henry Garrett, “\textit{Eulerian-Path-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7826705). \bibitem{HG160b} Henry Garrett, “\textit{Eulerian-Path-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7820680). \bibitem{HG159b} Henry Garrett, “\textit{Eulerian-Path-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7812750). \bibitem{HG158b} Henry Garrett, “\textit{Hamiltonian-Type-Cycle-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7812142). \bibitem{HG157b} Henry Garrett, “\textit{Hamiltonian-Type-Cycle-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7810394). \bibitem{HG156b} Henry Garrett, “\textit{Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7807782). \bibitem{HG155b} Henry Garrett, “\textit{Hamiltonian-Cycle-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7804449). \bibitem{HG154b} Henry Garrett, “\textit{Hamiltonian-Cycle-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7793875). \bibitem{HG153b} Henry Garrett, “\textit{Hamiltonian-Cycle-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7792307). \bibitem{HG152b} Henry Garrett, “\textit{Hamiltonian-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7790728). \bibitem{HG151b} Henry Garrett, “\textit{Hamiltonian-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7787712). \bibitem{HG150b} Henry Garrett, “\textit{Hamiltonian-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7783791). \bibitem{HG149b} Henry Garrett, “\textit{Trace-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7780123). \bibitem{HG148b} Henry Garrett, “\textit{Trace-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7773119). \bibitem{HG147b} Henry Garrett, “\textit{SuperHyperDuality}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7637762). \bibitem{HG146b} Henry Garrett, “\textit{Trace-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7766174). \bibitem{HG145b}Henry Garrett, “\textit{Edge-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7762232). \bibitem{HG144b} Henry Garrett, “\textit{Edge-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7758601). \bibitem{HG143b} Henry Garrett, “\textit{Edge-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7754661). \bibitem{HG142b} Henry Garrett, “\textit{Vertex-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7750995) . \bibitem{HG141b} Henry Garrett, “\textit{Vertex-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7749875). \bibitem{HG140b} Henry Garrett, “\textit{Vertex-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7747236). \bibitem{HG139b} Henry Garrett, “\textit{Stable-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7742587). \bibitem{HG138b} Henry Garrett, “\textit{Stable-Decompositions In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7738635). \bibitem{HG137b} Henry Garrett, “\textit{Stable-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7734719). \bibitem{HG136b} Henry Garrett, “\textit{Clique-Neighbors In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7730484). \bibitem{HG135b} Henry Garrett, “\textit{Clique-Decompositions In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7730469). \bibitem{HG134b} Henry Garrett, “\textit{Clique-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7722865). \bibitem{HG133b} Henry Garrett, “\textit{Space In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7713563). \bibitem{HG132b} Henry Garrett, “\textit{Space In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7709116). \bibitem{HG131b} Henry Garrett, “\textit{Edge-Connectivity In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7706415). \bibitem{HG130b} Henry Garrett, “\textit{Vertex-Connectivity In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7706063). \bibitem{HG129b} Henry Garrett, “\textit{Tree-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7701906). \bibitem{HG128b} Henry Garrett, “\textit{Chord In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7700205). \bibitem{HG127b} Henry Garrett, “\textit{(i,j)-Domination In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7694876). \bibitem{HG126b} Henry Garrett, “\textit{Edge-Domination In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7679410). \bibitem{HG125b} Henry Garrett, “\textit{K-Domination In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7675982). \bibitem{HG124b} Henry Garrett, “\textit{K-Number In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7672388). \bibitem{HG123b} Henry Garrett, “\textit{Order In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7668648). \bibitem{HG122b} Henry Garrett, “\textit{Coloring In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7662810). \bibitem{HG121b} Henry Garrett, “\textit{Dimension In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7659162). \bibitem{HG120b} Henry Garrett, “\textit{Cancer In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653233). \bibitem{HG119b} Henry Garrett, “\textit{SuperHyperWheel}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653204). \bibitem{HG118b} Henry Garrett, “\textit{SuperHyperMultipartite}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653142). \bibitem{HG117b} Henry Garrett, “\textit{SuperHyperBipartite}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653117). \bibitem{HG116b} Henry Garrett, “\textit{SuperHyperStar}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653089). \bibitem{HG115b} Henry Garrett, “\textit{SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651687). \bibitem{HG114b} Henry Garrett, “\textit{SuperHyperPath}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651619). \bibitem{HG113b} Henry Garrett, “\textit{SuperHyperDomination}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651439). \bibitem{HG112b} Henry Garrett, “\textit{SuperHyperDominating}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7650729). \bibitem{HG111b} Henry Garrett, “\textit{SuperHyperConnected}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7647868). \bibitem{HG110b} Henry Garrett, “\textit{SuperHyperTotal}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7647017). \bibitem{HG109b} Henry Garrett, “\textit{SuperHyperPerfect}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7644894). \bibitem{HG108b} Henry Garrett, “\textit{SuperHyperJoin}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7641880). \bibitem{HG107b} Henry Garrett, “\textit{Path SuperHyperColoring}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7632923). \bibitem{HG106b} Henry Garrett, “\textit{SuperHyperDensity}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7623459). \bibitem{HG105b} Henry Garrett, “\textit{Neutrosophic SuperHyperConnectivities}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606416). \bibitem{HG104b} Henry Garrett, “\textit{Extreme SuperHyperConnectivities}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606416). \bibitem{HG103b} Henry Garrett, “\textit{SuperHyperConnectivities}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606404). \bibitem{HG102b} Henry Garrett, “\textit{Neutrosophic SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018). \bibitem{HG101b} Henry Garrett, “\textit{Extreme SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018). \bibitem{HG100b} Henry Garrett, “\textit{Extreme SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018). \bibitem{HG99b} Henry Garrett, “\textit{SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7579929). \bibitem{HG98b} Henry Garrett, “\textit{Neutrosophic SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563170). \bibitem{HG97b} Henry Garrett, “\textit{Extreme SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563164). \bibitem{HG96b} Henry Garrett, “\textit{SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160). \bibitem{HG95b} Henry Garrett, “\textit{Extreme SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160). \bibitem{HG94b} Henry Garrett, “\textit{Overlook On SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160). \bibitem{HG93b} Henry Garrett, “\textit{Neutrosophic SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7557063). \bibitem{HG92b} Henry Garrett, “\textit{Extreme SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7557009). \bibitem{HG91b} Henry Garrett, “\textit{Overlook On SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7539484). \bibitem{HG90b} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG89b} Henry Garrett, “\textit{Extreme Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG88b} Henry Garrett, “\textit{Overlook On Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG87b} Henry Garrett, “\textit{Extreme SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7574952). \bibitem{HG86b} Henry Garrett, “\textit{Neutrosophic SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7574992). \bibitem{HG85b} Henry Garrett, “\textit{Extreme SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357). \bibitem{HG84b} Henry Garrett, “\textit{Overlook On SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357). \bibitem{HG83b} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG82b} Henry Garrett, “\textit{Extreme Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG81b} Henry Garrett, “\textit{Overlook On Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG80b} Henry Garrett, “\textit{Neutrosophic SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG79b} Henry Garrett, “\textit{Extreme SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG78b} Henry Garrett, “\textit{Overlook On SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG77b} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450). \bibitem{HG76b} Henry Garrett, “\textit{Extreme Failed SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450). \bibitem{HG75b} Henry Garrett, “\textit{Neutrosophic SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG74b} Henry Garrett, “\textit{Extreme SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG73b} Henry Garrett, “\textit{Overlook On SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG72b} Henry Garrett, “\textit{Neutrosophic SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG71b} Henry Garrett, “\textit{Extreme SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG70b} Henry Garrett, “\textit{Overlook On SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG69b} Henry Garrett, “\textit{SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7539484). \bibitem{HG68b} Henry Garrett, “\textit{Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG67b} Henry Garrett, “\textit{SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357). \bibitem{HG66b} Henry Garrett, “\textit{Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG65b} Henry Garrett, “\textit{SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG64b} Henry Garrett, “\textit{Failed SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450). \bibitem{HG63b} Henry Garrett, “\textit{SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG62b} Henry Garrett, “\textit{SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG61b} Henry Garrett, “\textit{SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7480110). \bibitem{HG60b} Henry Garrett, “\textit{Neut. SuperHyperEdges}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7378758). \bibitem{HG32b} Henry Garrett, “\textit{Beyond Neutrosophic Graphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.6320305). \bibitem{HG44b} Henry Garrett, “\textit{Neutrosophic Duality}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.6677173). \end{thebibliography} \end{document} [ADDRESSED CITATION] [HG174b] Henry Garrett, “Matrix-Based In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7978921). In this scientific research book, there are some scientific research chapters on “Extreme Matrix-Based In SuperHyperGraphs” and “Neutrosophic Matrix-Based In SuperHyperGraphs” about some scientific researches on Matrix-Based In SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Matrix-Based In SuperHyperGraphs and Neutrosophic Matrix-Based In SuperHyperGraphs. With scientific research on the basic scientific research properties, the scientific research book starts to make Extreme Matrix-Based In SuperHyperGraphs theory and Neutrosophic Matrix-Based In SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4048 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 5046 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and Matrix-Based In SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf).

A NEW VIEW ON NEUTROSOPHIC MATRIX

Author : Banu Pazar Varol,Vildan Cetkin,Halis Aygun
Publisher : Infinite Study
Page : 10 pages
File Size : 44,8 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

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A NEW VIEW ON NEUTROSOPHIC MATRIX by Banu Pazar Varol,Vildan Cetkin,Halis Aygun Pdf

In the present paper, we define a new kind of matrix called by a neutrosophic matrix, whose entries are all single-valued neutrosophic sets. So, we aim to be introduce a convenient tool for the problems, have uncertain inputs. We give the definition of a neutrosophic matrix with its basic operations. Then we investigate the properties of the given operations and also prove that the family of all neutrosophic matrices is a vector space over a classical field.

Neutrosophic Fuzzy Matrices and Some Algebraic Operations

Author : Rakhal Das,Florentin Smarandache,Binod Chandra Tripathy
Publisher : Infinite Study
Page : 9 pages
File Size : 46,6 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Fuzzy Matrices and Some Algebraic Operations by Rakhal Das,Florentin Smarandache,Binod Chandra Tripathy Pdf

In this article, we study neutrosophic fuzzy set and define the subtraction and multiplication of two rectangular and square neutrosophic fuzzy matrices. Some properties of subtraction, addition and multiplication of these matrices and commutative property, distributive property have been examined.