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Intuitionistic Fuzzy Sets

Author: Krassimir T. Atanassov

Publisher: Physica

ISBN: 9783790818703

Category: Mathematics

Page: 324

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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.
Intuitionistic Fuzzy Sets
Language: en
Pages: 324
Authors: Krassimir T. Atanassov
Categories: Mathematics
Type: BOOK - Published: 2013-03-20 - Publisher: Physica

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
Distances and Similarities in Intuitionistic Fuzzy Sets
Language: en
Pages: 148
Authors: Eulalia Szmidt
Categories: Technology & Engineering
Type: BOOK - Published: 2013-07-23 - Publisher: Springer

This book presents the state-of-the-art in theory and practice regarding similarity and distance measures for intuitionistic fuzzy sets. Quantifying similarity and distances is crucial for many applications, e.g. data mining, machine learning, decision making, and control. The work provides readers with a comprehensive set of theoretical concepts and practical tools
Terminological difficulties in fuzzy set theory—The case of “Intuitionistic Fuzzy Sets”
Language: en
Pages: 7
Authors: Didier Dubois , Siegfried Gottwald, Petr Hajek, Janusz Kacprzyk, Henri Prade
Categories: Technology & Engineering
Type: BOOK - Published: - Publisher: Infinite Study

This note points out a terminological clash between Atanassov’s “intuitionistic fuzzy sets” and what is currently understood as intuitionistic logic.
Decision and Game Theory in Management With Intuitionistic Fuzzy Sets
Language: en
Pages: 444
Authors: Deng-Feng Li
Categories: Technology & Engineering
Type: BOOK - Published: 2013-11-12 - Publisher: Springer

The focus of this book is on establishing theories and methods of both decision and game analysis in management using intuitionistic fuzzy sets. It proposes a series of innovative theories, models and methods such as the representation theorem and extension principle of intuitionistic fuzzy sets, ranking methods of intuitionistic fuzzy
On Intuitionistic Fuzzy Sets Theory
Language: en
Pages: 324
Authors: Krassimir T. Atanassov
Categories: Technology & Engineering
Type: BOOK - Published: 2012-04-28 - Publisher: Springer

This book aims to be a comprehensive and accurate survey of state-of-art research on intuitionistic fuzzy sets theory and could be considered a continuation and extension of the author ́s previous book on Intuitionistic Fuzzy Sets, published by Springer in 1999 (Atanassov, Krassimir T., Intuitionistic Fuzzy Sets, Studies in Fuzziness