Novel Neutrosophic Cubic Graphs Structures With Application In Decision Making Problems

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Novel Neutrosophic Cubic Graphs Structures with Application in Decision Making Problems

Muhammad Gulistan ,Mumtaz Ali,Muhammad Azhar,Seungmin Raho,Seifedine Kadry
Novel Neutrosophic Cubic Graphs Structures with Application in Decision Making Problems Book PDF

Author : Muhammad Gulistan ,Mumtaz Ali,Muhammad Azhar,Seungmin Raho,Seifedine Kadry
Publisher : Infinite Study
Page : 16 pages
File Size : 52,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Novel Neutrosophic Cubic Graphs Structures with Application in Decision Making Problems by Muhammad Gulistan ,Mumtaz Ali,Muhammad Azhar,Seungmin Raho,Seifedine Kadry Pdf

Graphs allows us to study the different patterns of inside the data by making a mental image. The aim of this paper is to develop neutrosophic cubic graph structure which is the extension of neutrosophic cubic graphs. As neutrosophic cubic graphs are defined for one set of edges between vertices while neutrosophic cubic graphs structures are defined for more than one set of edges. Further, we defined some basic operations such as Cartesian product, composition, union, join, cross product, strong product and lexicographic product of two neutrosophic cubic graph structures. Several types of other interesting properties of neutrosophic cubic graph structures are discussed in this paper. Finally, a decision-making algorithm based on the idea of neutrosophic cubic graph structures is constructed. The proposed decision-making algorithm is applied in a decision-making problem to check the validity.

Novel Neutrosophic Cubic Graphs Structures with Application in Decision Making Problems

Muhammad Gulistan,Mumtaz Ali,Muhammad Azhar,Seungmin Raho,Seifedine Kadry
Novel Neutrosophic Cubic Graphs Structures with Application in Decision Making Problems Book PDF

Author : Muhammad Gulistan,Mumtaz Ali,Muhammad Azhar,Seungmin Raho,Seifedine Kadry
Publisher : Infinite Study
Page : 17 pages
File Size : 42,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Novel Neutrosophic Cubic Graphs Structures with Application in Decision Making Problems by Muhammad Gulistan,Mumtaz Ali,Muhammad Azhar,Seungmin Raho,Seifedine Kadry Pdf

Graphs allows us to study the different patterns of inside the data by making a mental image. The aim of this paper is to develop neutrosophic cubic graph structure which is the extension of neutrosophic cubic graphs. As neutrosophic cubic graphs are defined for one set of edges between vertices while neutrosophic cubic graphs structures are defined for more than one set of edges. Further, we defined some basic operations such as Cartesian product, composition, union, join, cross product, strong product and lexicographic product of two neutrosophic cubic graph structures. Several types of other interesting properties of neutrosophic cubic graph structures are discussed in this paper. Finally, a decision-making algorithm based on the idea of neutrosophic cubic graph structures is constructed. The proposed decision-making algorithm is applied in a decision-making problem to check the validity.

Novel decision-making method based on bipolar neutrosophic information

Jianming Zhan,Muhammad Akram,Muzzamal Sitara
Novel decision making method based on bipolar neutrosophic information Book PDF

Author : Jianming Zhan,Muhammad Akram,Muzzamal Sitara
Publisher : Infinite Study
Page : 25 pages
File Size : 41,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Novel decision-making method based on bipolar neutrosophic information by Jianming Zhan,Muhammad Akram,Muzzamal Sitara Pdf

In 1998, Smarandache originally considered the concept of neutrosophic set from philosophical point of view. The notion of a single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. A bipolar single-valued neutrosophic set is an extension of a bipolar fuzzy set, which provides us an additional possibility to represent uncertainty, imprecise, incomplete and inconsistent information existing in real situations. In this research article, we apply the concept of bipolar single-valued neutrosophic sets to graph structures and present a novel framework for handling bipolar neutrosophic information by combining bipolar neutrosophic sets with graph structures. Several basic notions concerning bipolar single-valued neutrosophic graph structures are introduced, and some related properties are investigated.We also consider the applications of bipolar single-valued neutrosophic graph structures in decision making. In particular, efficient algorithms are developed to solve decision-making problems regarding recognition of each country’s participation in its conspicuous relationships, detection of psychological improvement of patients in a mental hospital and uncovering the undercover reasons for global terrorism.

P and R Order of Plithogenic Neutrosophic Cubic sets

S.P. Priyadharshini,F. Nirmala Irudayam
P and R Order of Plithogenic Neutrosophic Cubic sets Book PDF

Author : S.P. Priyadharshini,F. Nirmala Irudayam
Publisher : Infinite Study
Page : 13 pages
File Size : 47,8 Mb
Release : 2021-12-01
Category : Mathematics
ISBN : 8210379456XXX

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P and R Order of Plithogenic Neutrosophic Cubic sets by S.P. Priyadharshini,F. Nirmala Irudayam Pdf

The paper presents a new concept called P-Order (Union and Intersection) and R- Order (Union and Intersection) of the Plithogenic Neutrosophic Cubic Sets (PNCS). We derived some of the primary properties of the internal and external PNCS of P and R- Order. We also proved that P-Union and P- intersection of Truth (T) (resp. falsity (F), indeterminacy(I)) external PNCS may not be T (resp. F, I) external PNCS and R-Union and R-intersection of T (resp. F, I) internal PNCS may not be T (resp. F, I) internal PNCS with the numerical examples. This principle is extremely appropriate for analyzing problems that involve multi-attribute decision making since this PNCS is defined by many values of attribute and the reliability of the data is also so accurate.

Neutrosophic Operational Research

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Operational Research Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Springer Nature
Page : 628 pages
File Size : 49,7 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.

Neutrosophic Sets and Systems, Vol. 47, 2021

Florentin Smarandache,Mohamed Abdel-Basser,Said Broumi
Neutrosophic Sets and Systems Vol 47 2021 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basser,Said Broumi
Publisher : Infinite Study
Page : 652 pages
File Size : 55,8 Mb
Release : 2021-12-30
Category : Antiques & Collectibles
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 47, 2021 by Florentin Smarandache,Mohamed Abdel-Basser,Said Broumi Pdf

Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.

Application of intuitionistic neutrosophic graph structures in decision-making

Muhammad Akram, Muzzamal Sitara
Application of intuitionistic neutrosophic graph structures in decision making Book PDF

Author : Muhammad Akram, Muzzamal Sitara
Publisher : Infinite Study
Page : 27 pages
File Size : 54,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Application of intuitionistic neutrosophic graph structures in decision-making by Muhammad Akram, Muzzamal Sitara Pdf

In this research study, we present concept of intuitionistic neutrosophic graph structures. We introduce the certain operations on intuitionistic neutrosophic graph structures and elaborate them with suitable examples.

Neutrosophic Sets and Systems, vol. 51/2022

Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Neutrosophic Sets and Systems vol 51 2022 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 970 pages
File Size : 40,6 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 51/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi 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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

A study of plithogenic graphs: applications in spreading coronavirus disease (COVID-19) globally

Fazeelat Sultana,Muhammad Gulistan,Mumtaz Ali,Naveed Yaqoob,Muhammad Khan,Tabasam Rashid,Tauseef Ahmed
A study of plithogenic graphs applications in spreading coronavirus disease COVID 19 globally Book PDF

Author : Fazeelat Sultana,Muhammad Gulistan,Mumtaz Ali,Naveed Yaqoob,Muhammad Khan,Tabasam Rashid,Tauseef Ahmed
Publisher : Infinite Study
Page : 21 pages
File Size : 48,6 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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A study of plithogenic graphs: applications in spreading coronavirus disease (COVID-19) globally by Fazeelat Sultana,Muhammad Gulistan,Mumtaz Ali,Naveed Yaqoob,Muhammad Khan,Tabasam Rashid,Tauseef Ahmed Pdf

During the last two decades, the world has experienced three major outbreaks of Coronaviruses, namely severe acute respiratory syndrome (SARS- CoV), middle east respiratory syndrome (MERS-CoV), and the current ongoing pandemic of severe acute respiratory syndrome 2 (SARS-CoV-2). The SARS-CoV-2 caused the disease known as Coronavirus Disease 2019 (COVID-19). Since its discovery for the first time in Wuhan, China, in December 2019, the disease has spread very fast, and cases have been reported in more than 200 countries/territories. In this study, the idea of Smarandache’s pathogenic set is used to discuss the novel COVID-19 spread. We first introduced plithogenic graphs and their subclass, like plithogenic fuzzy graphs. We also established certain binary operations like union, join, Cartesian product, and composition of pathogenic fuzzy graphs, which are helpful when we discuss combining two different graphs. In the end, we investigate the spreading trend of COVID-19 by applying the pathogenic fuzzy graphs. We observe that COVID-19 is much dangerous than (MERS-CoV) and (SARS-CoV). Moreover, as the SARS-CoV and MERS-CoV outbreaks were controlled, there are greater chances to overcome the current pandemic of COVID-19 too. Our model suggests that all the countries should stop all types of traveling/movement across the borders and internally too to control the spread of COVID-19. The proposed model also predicts that in case precautionary measures have not been taken then there is a chance of severe outbreak in future.

Neutrosophic Sets and Systems, vol. 50/2022

Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Neutrosophic Sets and Systems vol 50 2022 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 674 pages
File Size : 43,6 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 50/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi 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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making

Huiling Xue,Xiaotong Yang,Chunfang Chen
Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making Book PDF

Author : Huiling Xue,Xiaotong Yang,Chunfang Chen
Publisher : Infinite Study
Page : 17 pages
File Size : 44,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making by Huiling Xue,Xiaotong Yang,Chunfang Chen Pdf

The neutrosophic cubic sets are an extension of the neutrosophic sets on the cubic sets. It contains three variables, which respectively represent the membership degree, non-membership degree and uncertainty of the element to the set. The score function is an important indicator in the multi-attribute decision-making problem. In this paper, we consider the possibility that an element belongs to a set and put forward the definition of possibility neutrosophic cubic sets. On this basis, we introduce some related concepts and give the binary operation of possibility neutrosophic cubic sets and use specific examples to supplement the corresponding definition. Meanwhile, a decision-making method based on the score function of possibility neutrosophic cubic sets is proposed and a numerical example is given to illustrate the effectiveness of the proposed method.

Neutrosophic Sets and Systems, Book Series, Vol. 32, 2020. An International Book Series in Information Science and Engineering

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Sets and Systems Book Series Vol 32 2020 An International Book Series in Information Science and Engineering Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 452 pages
File Size : 43,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Book Series, Vol. 32, 2020. An International Book Series in Information Science and Engineering by Florentin Smarandache,Mohamed Abdel-Basset 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.

Toward Humanoid Robots: The Role of Fuzzy Sets

Cengiz Kahraman,Eda Bolturk
Toward Humanoid Robots The Role of Fuzzy Sets Book PDF

Author : Cengiz Kahraman,Eda Bolturk
Publisher : Springer Nature
Page : 310 pages
File Size : 53,5 Mb
Release : 2021-04-04
Category : Technology & Engineering
ISBN : 9783030671631

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Toward Humanoid Robots: The Role of Fuzzy Sets by Cengiz Kahraman,Eda Bolturk Pdf

This book offers a comprehensive reference guide for modeling humanoid robots using intelligent and fuzzy systems. It provides readers with the necessary intelligent and fuzzy tools for controlling humanoid robots by incomplete, vague, and imprecise information or insufficient data, where classical modeling approaches cannot be applied. The respective chapters, written by prominent researchers, explain a wealth of both basic and advanced concepts including fuzzy control, metaheuristic-based control, neutrosophic control, etc. To foster reader comprehension, all chapters include relevant numerical examples or case studies. Taken together, they form an excellent reference guide for researchers, lecturers, and postgraduate students pursuing research on humanoid robots. Moreover, by extending all the main aspects of humanoid robots to its intelligent and fuzzy counterparts, the book presents a dynamic snapshot of the field that is expected to stimulate new directions, ideas, and developments.

A Study on Neutrosophic Cubic Graphs with Real Life Applications in Industries

Muhammad Gulistan,Naveed Yaqoob,Zunaira Rashid,Florentin Smarandache,Hafiz Abdul Wahab
A Study on Neutrosophic Cubic Graphs with Real Life Applications in Industries Book PDF

Author : Muhammad Gulistan,Naveed Yaqoob,Zunaira Rashid,Florentin Smarandache,Hafiz Abdul Wahab
Publisher : Infinite Study
Page : 22 pages
File Size : 54,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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A Study on Neutrosophic Cubic Graphs with Real Life Applications in Industries by Muhammad Gulistan,Naveed Yaqoob,Zunaira Rashid,Florentin Smarandache,Hafiz Abdul Wahab Pdf

Neutrosophic cubic sets are the more generalized tool by which one can handle imprecise information in a more effective way as compared to fuzzy sets and all other versions of fuzzy sets.

A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017

Xindong Peng,Jingguo Dai
A bibliometric analysis of neutrosophic set two decades review from 1998 to 2017 Book PDF

Author : Xindong Peng,Jingguo Dai
Publisher : Infinite Study
Page : 57 pages
File Size : 40,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017 by Xindong Peng,Jingguo Dai Pdf

Neutrosophic set, initiated by Smarandache, is a novel tool to deal with vagueness considering the truth-membership T, indeterminacy-membership I and falsity-membership F satisfying the condition 0 ≤ T + I + F ≤ 3. It can be used to characterize the uncertain information more sufficiently and accurately than intuitionistic fuzzy set. Neutrosophic set has attracted great attention of many scholars that have been extended to new types and these extensions have been used in many areas such as aggregation operators, decision making, image processing, information measures, graph and algebraic structures.