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Interval-Valued Intuitionistic Fuzzy Sets

2019-09-21 Technology & Engineering
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Release : 2019-09-21
Genre : Technology & Engineering
Kind : eBook
Book Rating : 901/5 ( reviews)

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Book Synopsis Interval-Valued Intuitionistic Fuzzy Sets by : Krassimir T. Atanassov

Download or read book Interval-Valued Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov. This book was released on 2019-09-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Interval-Valued Intuitionistic Fuzzy Sets

2019-10-02 Technology & Engineering
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Release : 2019-10-02
Genre : Technology & Engineering
Kind : eBook
Book Rating : 898/5 ( reviews)

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Book Synopsis Interval-Valued Intuitionistic Fuzzy Sets by : Krassimir T. Atanassov

Download or read book Interval-Valued Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov. This book was released on 2019-10-02. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Intuitionistic Fuzzy Sets

2013-03-20 Mathematics
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Release : 2013-03-20
Genre : Mathematics
Kind : eBook
Book Rating : 704/5 ( reviews)

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Book Synopsis Intuitionistic Fuzzy Sets by : Krassimir T. Atanassov

Download or read book Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov. This book was released on 2013-03-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

2019-10-25 Mathematics
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Release : 2019-10-25
Genre : Mathematics
Kind : eBook
Book Rating : 926/5 ( reviews)

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Book Synopsis Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures by : Jana, Chiranjibe

Download or read book Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures written by Jana, Chiranjibe. This book was released on 2019-10-25. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set

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Book Synopsis New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set by : Said Broumi

Download or read book New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set written by Said Broumi. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: 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.

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