Interval Valued Intuitionistic Fuzzy Sets
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Interval Valued Intuitionistic Fuzzy Sets
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Author : Krassimir T. Atanassov
language : en
Publisher: Springer Nature
Release Date : 2019-09-21
Interval Valued Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-21 with Technology & Engineering categories.
The book offers a comprehensive survey of interval-valued intuitionistic fuzzy sets. It reports on cutting-edge research carried out by the founder of the intuitionistic fuzzy sets, Prof. Krassimir Atanassov, giving a special emphasis to the practical applications of this extension. A few interesting case studies, such as in the area of data mining, decision making and pattern recognition, among others, are discussed in detail. The book offers the first comprehensive guide on interval-valued intuitionistic fuzzy sets. By providing the readers with a thorough survey and important practical details, it is expected to support them in carrying out applied research and to encourage them to test the theory behind the sets for new advanced applications. The book is a valuable reference resource for graduate students and researchers alike.
A Novel Similarity Measure For Interval Valued Intuitionistic Fuzzy Sets And Its Applications
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Author : Minxia Luo
language : en
Publisher: Infinite Study
Release Date :
A Novel Similarity Measure For Interval Valued Intuitionistic Fuzzy Sets And Its Applications written by Minxia Luo 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, a novel similarity measure for interval-valued intuitionistic fuzzy sets is introduced, which is based on the transformed interval-valued intuitionistic triangle fuzzy numbers. Its superiority is shown by comparing the proposed similarity measure with some existing similarity measures by some numerical examples. Furthermore, the proposed similarity measure is applied to deal with pattern recognition and medical diagnosis problems.
Decision Making Theories And Methods Based On Interval Valued Intuitionistic Fuzzy Sets
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Author : Shuping Wan
language : en
Publisher: Springer Nature
Release Date : 2020-02-03
Decision Making Theories And Methods Based On Interval Valued Intuitionistic Fuzzy Sets written by Shuping Wan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-03 with Technology & Engineering categories.
This is the first book to provide a comprehensive and systematic introduction to the ranking methods for interval-valued intuitionistic fuzzy sets, multi-criteria decision-making methods with interval-valued intuitionistic fuzzy sets, and group decision-making methods with interval-valued intuitionistic fuzzy preference relations. Including numerous application examples and illustrations with tables and figures and presenting the authors’ latest research developments, it is a valuable resource for researchers and professionals in the fields of fuzzy mathematics, operations research, information science, management science and decision analysis.
Interval Double Valued Neutrosophic Intuitionistic Fuzzy Graph
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Author : K. Kalaiarasi
language : en
Publisher: Infinite Study
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Interval Double Valued Neutrosophic Intuitionistic Fuzzy Graph written by K. Kalaiarasi 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.
The notion of interval, double-valued neutrosophic intuitionistic fuzzy sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets. We apply the concept of interval, double-valued neutrosophic intuitionistic fuzzy sets an instance of neutrosophic intuitionistic fuzzy sets, to graphs. We introduce certain types of strong interval ,double-valued neutrosophic intuitionistic fuzzy graphs and investigate some of their properties with proofs and examples.
Intuitionistic Fuzzy Sets
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Author : Krassimir T. Atanassov
language : en
Publisher: Physica
Release Date : 2013-03-20
Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-20 with Mathematics categories.
In the beginning of 1983, I came across A. Kaufmann's book "Introduction to the theory of fuzzy sets" (Academic Press, New York, 1975). This was my first acquaintance with the fuzzy set theory. Then I tried to introduce a new component (which determines the degree of non-membership) in the definition of these sets and to study the properties of the new objects so defined. I defined ordinary operations as "n", "U", "+" and "." over the new sets, but I had began to look more seriously at them since April 1983, when I defined operators analogous to the modal operators of "necessity" and "possibility". The late George Gargov (7 April 1947 - 9 November 1996) is the "god father" of the sets I introduced - in fact, he has invented the name "intu itionistic fuzzy", motivated by the fact that the law of the excluded middle does not hold for them. Presently, intuitionistic fuzzy sets are an object of intensive research by scholars and scientists from over ten countries. This book is the first attempt for a more comprehensive and complete report on the intuitionistic fuzzy set theory and its more relevant applications in a variety of diverse fields. In this sense, it has also a referential character.
New Operations Over Interval Valued Intuitionistic Hesitant Fuzzy Set
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Author : Said Broumi
language : en
Publisher: Infinite Study
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New Operations Over Interval Valued Intuitionistic Hesitant Fuzzy Set 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 categories.
Hesitancy is the most common problem in decision making, for which hesitant fuzzy set can be considered as a useful tool allowing several possible degrees of membership of an element to a set.
Strong Interval Valued Neutrosophic Intuitionistic Fuzzy Graph
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Author : K. Kalaiarasi
language : en
Publisher: Infinite Study
Release Date :
Strong Interval Valued Neutrosophic Intuitionistic Fuzzy Graph written by K. Kalaiarasi 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, the strong interval-valued neutrosophic intuitionistic fuzzy graphs are suggest. Cartesian product, composition and clamp of two strong interval-valued neutrosophic intuitionstic fuzzy graphs defined. Some propositions involving strong interval-valued neutrosophic intuitionistic fuzzy graphs are stated and proved. We introduce the opinion of product of two interval-valued intuitionistic fuzzy graphs and investigate some of their properties. We discuss some propositions on Cartesian product and define some properties on it.
Terminological Dif Culties In Fuzzy Set Theory The Case Of Intuitionistic Fuzzy Sets
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Author : Didier Dubois
language : en
Publisher: Infinite Study
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Terminological Dif Culties In Fuzzy Set Theory The Case Of Intuitionistic Fuzzy Sets written by Didier Dubois 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 categories.
This note points out a terminological clash between Atanassov’s “intuitionistic fuzzy sets” and what is currently understood as intuitionistic logic.
Handbook Of Research On Emerging Applications Of Fuzzy Algebraic Structures
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Author : Jana, Chiranjibe
language : en
Publisher: IGI Global
Release Date : 2019-10-25
Handbook Of Research On Emerging Applications Of Fuzzy Algebraic Structures written by Jana, Chiranjibe 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 Mathematics categories.
In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.
Uncertainty Data In Interval Valued Fuzzy Set Theory
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Author : Barbara Pękala
language : en
Publisher: Springer
Release Date : 2018-06-27
Uncertainty Data In Interval Valued Fuzzy Set Theory written by Barbara Pękala and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-27 with Technology & Engineering categories.
This book offers an introduction to fuzzy sets theory and their operations, with a special focus on aggregation and negation functions. Particular attention is given to interval-valued fuzzy sets and Atanassov’s intuitionistic fuzzy sets and their use in uncertainty models involving imperfect or unknown information. The theory and application of interval-values fuzzy sets to various decision making problems represent the central core of this book, which describes in detail aggregation operators and their use with imprecise data represented as intervals. Interval-valued fuzzy relations, compatibility measures of interval and the transitivity property are thoroughly covered. With its good balance between theoretical considerations and applications of originally developed algorithms to real-world problem, the book offers a timely, inspiring guide to mathematicians and engineers developing new decision making models or implementing/applying existing ones to a wide range of applications involving imprecise or incomplete data.