Three Way N Valued Neutrosophic Concept Lattice At Different Granulation

Three Way N Valued Neutrosophic Concept Lattice At Different Granulation Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Three Way N Valued Neutrosophic Concept Lattice At Different Granulation book. This book definitely worth reading, it is an incredibly well-written.

Three-way n-valued neutrosophic concept lattice at different granulation

Author : Prem Kumar Singh
Publisher : Infinite Study
Page : 19 pages
File Size : 54,7 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Three-way n-valued neutrosophic concept lattice at different granulation by Prem Kumar Singh Pdf

In recent year, the mathematics of three-way fuzzy concept lattice is introduced to characterize the attributes based on its acceptation, rejection and uncertain part. One of the suitable example is descriptive analysis of opinion of people in a democratic country. This became complex for the country like India where opinion (i.e. vote) of people to choose the particular leader is based on 29 independent states and their distinct issues. Adequate analysis of these type of 29-valued data based on its acceptation, rejection and uncertain part is major issue for the government and private agencies. To resolve this issue current paper introduces n-valued neutrosophic context and its graphical structure visualization for descriptive analysis. In the same time an another method is proposed to some of the similar three-way n-valued concepts. To zoom in and zoom out the n-valued neutrosophic context at user required information granules with an illustrative example.

Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information

Author : Li Jiao,Hai-Long Yang,Sheng-Gang Li
Publisher : Infinite Study
Page : 17 pages
File Size : 50,7 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information by Li Jiao,Hai-Long Yang,Sheng-Gang Li Pdf

In this paper, we propose two new three-way decision models based on decision theoretic rough sets with single-valued neutrosophic information. The difference between the two models is different ranking methods. One is the ranking method based on cosine similarity measure. The other is the ranking method based on Euclidean distance. We give the key steps of the propose models and present an example of breakfast shop siting problem to show the rationality and practicability of the proposed models. Finally, we make comparison analysis between the two models, and compare our models with other existing related models.

Neutrosophic Graph Theory and Algorithms

Author : Smarandache, Florentin,Broumi, Said
Publisher : IGI Global
Page : 406 pages
File Size : 49,6 Mb
Release : 2019-10-25
Category : Computers
ISBN : 9781799813156

Get Book

Neutrosophic Graph Theory and Algorithms by Smarandache, Florentin,Broumi, Said Pdf

Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous and imprecise results. In order to cut down on these indeterminate factors, neutrosophic logic has emerged as an applicable solution that is gaining significant attention in solving many real-life decision-making problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. However, empirical research on this specific graph set is lacking. Neutrosophic Graph Theory and Algorithms is a collection of innovative research on the methods and applications of neutrosophic sets and logic within various fields including systems analysis, economics, and transportation. While highlighting topics including linear programming, decision-making methods, and homomorphism, this book is ideally designed for programmers, researchers, data scientists, mathematicians, designers, educators, researchers, academicians, and students seeking current research on the various methods and applications of graph theory.

Some properties of Pentagonal Neutrosophic Numbers and its Applications in Transportation Problem Environment

Author : Avishek Chakraborty,Said Broumi,Prem Kumar Singh
Publisher : Infinite Study
Page : 16 pages
File Size : 47,6 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Some properties of Pentagonal Neutrosophic Numbers and its Applications in Transportation Problem Environment by Avishek Chakraborty,Said Broumi,Prem Kumar Singh Pdf

In this research article we actually deals with the conception of pentagonal Neutrosophic number from a different frame of reference. Recently, neutrosophic set theory and its extensive properties have given different dimensions for researchers. This paper focuses on pentagonal neutrosophic numbers and its distinct properties. At the same time, we defined the disjunctive cases of this number whenever the truthiness, falsity and hesitation portion are dependent and independent to each other. Some basic properties of pentagonal neutrosophic numbers with its logical score and accuracy function is introduced in this paper with its application in real life operation research problem which is more reliable than the other methods.

Advances of Standard and Nonstandard Neutrosophic Theories

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 308 pages
File Size : 48,8 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Advances of Standard and Nonstandard Neutrosophic Theories by Florentin Smarandache Pdf

In this book, we approach different topics related to neutrosophics, such as: Neutrosophic Set, Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set, Picture Fuzzy Set, Ternary Fuzzy Set, Pythagorean Fuzzy Set, Atanassov’s Intuitionistic Fuzzy Set of second type, Spherical Fuzzy Set, n-HyperSpherical Neutrosophic Set, q-Rung Orthopair Fuzzy Set, truth-membership, indeterminacy-membership, falsehood-nonmembership, Regret Theory, Grey System Theory, Three-Ways Decision, n-Ways Decision, Neutrosophy, Neutrosophication, Neutrosophic Probability, Refined Neutrosophy, Refined Neutrosophication, Nonstandard Analysis; Extended Nonstandard Analysis; Open and Closed Monads to the Left/Right; Pierced and Unpierced Binads; and so on.

Collected Papers. Volume XIV

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 970 pages
File Size : 53,6 Mb
Release : 2022-11-01
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Collected Papers. Volume XIV by Florentin Smarandache Pdf

This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, Toshinori Asai, Assia Bakali, Azmat Hussain, Daniela Baran, Bijan Davvaz, Bilal Hadjadji, Carlos Díaz Bohorquez, Robert N. Boyd, M. Caldas, Cenap Özel, Pankaj Chauhan, Victor Christianto, Salvador Coll, Shyamal Dalapati, Irfan Deli, Balasubramanian Elavarasan, Fahad Alsharari, Yonfei Feng, Daniela Gîfu, Rafael Rojas Gualdrón, Haipeng Wang, Hemant Kumar Gianey, Noel Batista Hernández, Abdel-Nasser Hussein, Ibrahim M. Hezam, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Muthusamy Karthika, Nour Eldeen M. Khalifa, Madad Khan, Kifayat Ullah, Valeri Kroumov, Tapan Kumar Roy, Deepesh Kunwar, Le Thi Nhung, Pedro López, Mai Mohamed, Manh Van Vu, Miguel A. Quiroz-Martínez, Marcel Migdalovici, Kritika Mishra, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohammed Alshumrani, Mohamed Loey, Muhammad Akram, Muhammad Shabir, Mumtaz Ali, Nassim Abbas, Munazza Naz, Ngan Thi Roan, Nguyen Xuan Thao, Rishwanth Mani Parimala, Ion Pătrașcu, Surapati Pramanik, Quek Shio Gai, Qiang Guo, Rajab Ali Borzooei, Nimitha Rajesh, Jesús Estupiñan Ricardo, Juan Miguel Martínez Rubio, Saeed Mirvakili, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, Ahmed A. Salama, Nirmala Sawan, Gheorghe Săvoiu, Ganeshsree Selvachandran, Seok-Zun Song, Shahzaib Ashraf, Jayant Singh, Rajesh Singh, Son Hoang Le, Tahir Mahmood, Kenta Takaya, Mirela Teodorescu, Ramalingam Udhayakumar, Maikel Y. Leyva Vázquez, V. Venkateswara Rao, Luige Vlădăreanu, Victor Vlădăreanu, Gabriela Vlădeanu, Michael Voskoglou, Yaser Saber, Yong Deng, You He, Youcef Chibani, Young Bae Jun, Wadei F. Al-Omeri, Hongbo Wang, Zayen Azzouz Omar.

Neutrosophic Set is a Generalization of Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set, Spherical Fuzzy Set, and q-Rung Orthopair Fuzzy Set, while Neutrosophication is a Generalization of Regret Theory, Grey System Theory, and Three-Ways Decision (revisited)

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 31 pages
File Size : 51,9 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Neutrosophic Set is a Generalization of Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set, Spherical Fuzzy Set, and q-Rung Orthopair Fuzzy Set, while Neutrosophication is a Generalization of Regret Theory, Grey System Theory, and Three-Ways Decision (revisited) by Florentin Smarandache Pdf

In this paper, we prove that Neutrosophic Set (NS) is an extension of Intuitionistic Fuzzy Set (IFS) no matter if the sum of neutrosophic components is <1, or >1, or =1. For the case when the sum of components is 1 (as in IFS), after applying the neutrosophic aggregation operators, one gets a different result than applying the intuitionistic fuzzy operators, since the intuitionistic fuzzy operators ignore the indeterminacy, while the neutrosophic aggregation operators take into consideration the indeterminacy at the same level as truth-membership and falsehood-nonmembership are taken.

International Journal of Neutrosophic Science (IJNS) Volume 1, 2020

Author : Broumi Said,Florentin Smarandache
Publisher : Infinite Study
Page : 94 pages
File Size : 45,6 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

Get Book

International Journal of Neutrosophic Science (IJNS) Volume 1, 2020 by Broumi Said,Florentin Smarandache Pdf

International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. IJNS is published quarterly. IJNS is devoted to the publication of peer-reviewed original research papers lying in the domain of neutrosophic sets and systems. Papers submitted for possible publication may concern with foundations, neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributing to economics, finance, management, industries, electronics, and communications are promoted.

SINGLE VALUED (2N+1) SIDED POLYGONAL NEUTROSOPHIC NUMBERS AND SINGLE VALUED (2N) SIDED POLYGONAL NEUTROSOPHIC NUMBERS

Author : Said Broumi,Mullai Murugappan,Mohamed Talea,Assia Bakali,Florentin Smarandache,Prem Kumar Singh,Arindam Dey
Publisher : Infinite Study
Page : 12 pages
File Size : 43,5 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

Get Book

SINGLE VALUED (2N+1) SIDED POLYGONAL NEUTROSOPHIC NUMBERS AND SINGLE VALUED (2N) SIDED POLYGONAL NEUTROSOPHIC NUMBERS by Said Broumi,Mullai Murugappan,Mohamed Talea,Assia Bakali,Florentin Smarandache,Prem Kumar Singh,Arindam Dey Pdf

This paper introduces a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers in continuation with other defined single valued neutrosophic numbers. The paper provides basic algebra like addition, subtraction and multiplication of a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers with examples. In addition, the paper introduces matrix for single valued (2n as well as 2n+1) sided polygonal neutrosophic matrix and its properties.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 200 pages
File Size : 45,6 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 9781599735993

Get Book

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019 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.

Neutrosophic Sets and Systems, Vol. 41, 2021

Author : Florentin Smarandache, Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 314 pages
File Size : 41,7 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Neutrosophic Sets and Systems, Vol. 41, 2021 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.

Neutrosophic Set in Medical Image Analysis

Author : Yanhui Guo,Amira S. Ashour
Publisher : Academic Press
Page : 370 pages
File Size : 54,6 Mb
Release : 2019-08-08
Category : Computers
ISBN : 9780128181492

Get Book

Neutrosophic Set in Medical Image Analysis by Yanhui Guo,Amira S. Ashour Pdf

Neutrosophic Set in Medical Image Analysis gives an understanding of the concepts of NS, along with knowledge on how to gather, interpret, analyze and handle medical images using NS methods. It presents the latest cutting-edge research that gives insight into neutrosophic set’s novel techniques, strategies and challenges, showing how it can be used in biomedical diagnoses systems. The neutrosophic set (NS), which is a generalization of fuzzy set, offers the prospect of overcoming the restrictions of fuzzy-based approaches to medical image analysis. Introduces the mathematical model and concepts of neutrosophic theory and methods Highlights the different techniques of neutrosophic theory, focusing on applying the neutrosophic set in image analysis to support computer- aided diagnosis (CAD) systems, including approaches from soft computing and machine learning Shows how NS techniques can be applied to medical image denoising, segmentation and classification Provides challenges and future directions in neutrosophic set based medical image analysis

Neutrosophic Sets and Systems, vol. 49/2022

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 611 pages
File Size : 46,6 Mb
Release : 2022-04-01
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Neutrosophic Sets and Systems, vol. 49/2022 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).

Intuitionistic Plithogenic Graph

Author : Prem Kumar Singh
Publisher : Infinite Study
Page : 22 pages
File Size : 49,7 Mb
Release : 2022-04-01
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Intuitionistic Plithogenic Graph by Prem Kumar Singh Pdf

Recently, properties of single-valued Plithogenic set is introduced for dealing with several opposite, non-opposite and neutral side of a multi-valued attribute. In this case, a problem arises due to conflict among the experts and their opinions. It is an indeed problem while dealing with single-valued Plithogenic membership. The reason is to deal with conflict or contradictions membership and non-membership values required. To deal with this problem intuitionistic Plithogenic context and its graphical structure visualization is introduced in this paper. In addition{d(a1, a2) , cb } -cut is introduced for dealing with intuitionistic degree of appurtenance and contradiction for multi-decision process.

An Analysis on Novel Corona Virus by a Plithogenic Approach to Fuzzy Cognitive Map

Author : R. Sujatha,S. Poomagal,G. Kuppuswami,Said Broumi
Publisher : Infinite Study
Page : 14 pages
File Size : 55,5 Mb
Release : 2020-11-01
Category : Mathematics
ISBN : 8210379456XXX

Get Book

An Analysis on Novel Corona Virus by a Plithogenic Approach to Fuzzy Cognitive Map by R. Sujatha,S. Poomagal,G. Kuppuswami,Said Broumi Pdf

In this paper a Plithogenic approach to Fuzzy cognitive map has been proposed to analyse the impact of novel corona virus.Contradiction degree is an advantageous feature of Plithogenic sets which highly deals with the uncertainty and it substantially increases the accuracy of results. In this research, a new approach is proposed to accumulate the opinions of experts.Using contradiction degree between opinions of experts and plithogenicoperator,the connection matrices obtained from distinct experts are aggregated to improvise a degree of uncertainty. An Analysis on covid-19 (causes, spread and precaution) is done based on the proposed methodology.