Three Way N Valued Neutrosophic Concept Lattice At Different Granulation
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Three Way N Valued Neutrosophic Concept Lattice At Different Granulation
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Author : Prem Kumar Singh
language : en
Publisher: Infinite Study
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Three Way N Valued Neutrosophic Concept Lattice At Different Granulation written by Prem Kumar Singh and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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
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Author : Li Jiao
language : en
Publisher: Infinite Study
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Three Way Decision Based On Decision Theoretic Rough Sets With Single Valued Neutrosophic Information written by Li Jiao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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 Set Is A Generalization Of Intuitionistic Fuzzy Set Inconsistent Intuitionistic Fuzzy Set Picture Fuzzy Set Ternary Fuzzy Set Pythagorean Fuzzy Set Atanassov S Intuitionistic Fuzzy Set Of Second Type Q Rung Orthopair Fuzzy Set Spherical Fuzzy Set And N Hyperspherical Fuzzy Set While Neutrosophication Is A Generalization Of Regret Theory Grey System Theory And Three Ways Decision Revisited
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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Neutrosophic Set Is A Generalization Of Intuitionistic Fuzzy Set Inconsistent Intuitionistic Fuzzy Set Picture Fuzzy Set Ternary Fuzzy Set Pythagorean Fuzzy Set Atanassov S Intuitionistic Fuzzy Set Of Second Type Q Rung Orthopair Fuzzy Set Spherical Fuzzy Set And N Hyperspherical Fuzzy Set While Neutrosophication Is A Generalization Of Regret Theory Grey System Theory And Three Ways Decision Revisited written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In this paper we prove that Neutrosophic Set (NS) is an extension of Intuitionistic Fuzzy Set (IFS) no matter if the sum of single-valued 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 from that of 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. NS is also more flexible and effective because it handles, besides independent components, also partially independent and partially dependent components, while IFS cannot deal with these. Since there are many types of indeterminacies in our world, we can construct different approaches to various neutrosophic concepts.
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
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
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 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Some Properties Of Pentagonal Neutrosophic Numbers And Its Applications In Transportation Problem Environment
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Author : Avishek Chakraborty
language : en
Publisher: Infinite Study
Release Date :
Some Properties Of Pentagonal Neutrosophic Numbers And Its Applications In Transportation Problem Environment written by Avishek Chakraborty and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Neutrosophic Graph Theory And Algorithms
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Author : Smarandache, Florentin
language : en
Publisher: IGI Global
Release Date : 2019-10-25
Neutrosophic Graph Theory And Algorithms written by Smarandache, Florentin and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-25 with Computers categories.
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.
International Journal Of Neutrosophic Science Ijns Volume 1 2020
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Author : Broumi Said
language : en
Publisher: Infinite Study
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International Journal Of Neutrosophic Science Ijns Volume 1 2020 written by Broumi Said and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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
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Author : Said Broumi
language : en
Publisher: Infinite Study
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Single Valued 2n 1 Sided Polygonal Neutrosophic Numbers And Single Valued 2n Sided Polygonal Neutrosophic Numbers written by Said Broumi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Multi Attribute Group Decision Making Based On Multigranulation Probabilistic Models With Interval Valued Neutrosophic Information
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Author : Chao Zhang
language : en
Publisher: Infinite Study
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Multi Attribute Group Decision Making Based On Multigranulation Probabilistic Models With Interval Valued Neutrosophic Information written by Chao Zhang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In plenty of realistic situations, multi-attribute group decision-making (MAGDM) is ubiquitous and significant in daily activities of individuals and organizations. Among diverse tools for coping with MAGDM, granular computing-based approaches constitute a series of viable and efficient theories by means of multi-view problem solving strategies. In this paper, in order to handle MAGDM issues with interval-valued neutrosophic (IN) information, we adopt one of the granular computing (GrC)-based approaches, known as multigranulation probabilistic models, to address IN MAGDM problems.
Advances Of Standard And Nonstandard Neutrosophic Theories
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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Advances Of Standard And Nonstandard Neutrosophic Theories written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.