Intuitionistic fuzzy sets: theory and applications Atanassov, Krassimir T.

By:

Atanassov, Krassimir T

Material type: Text

TextSeries: Studies in fuzziness and soft computing; 35Publication details: Heidelberg Physica-Verlag 1999Description: xviii, 323 pISBN:

3790812285
9783790812282

Subject(s):

Fuzzy sets

DDC classification:

511.322 A8I6

Summary: 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. (http://www.springer.com/in/book/9783790812282)

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Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad General Stacks	Non-fiction	511.322 A8I6 (Browse shelf(Opens below))	Available		191142

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Previous	511.3 N2G6 Godel's proof	511.3 S6B3 A beginner's guide to mathematical logic	511.3 S8R3 Reverse mathematics: proofs from the inside out	511.322 A8I6 Intuitionistic fuzzy sets: theory and applications	511.322 G3E9 Extremal finite set theory	511.322 W2P3 The pea and the sun: a mathematical paradox	511.352 K5C2 Causality, probability, and time	Next

Table of Contents:

1. Intuitionistic Fuzzy Sets

2. Interval Valued Intuitionistic Fuzzy Sets

3. Other Extensions of Intuitionistic Fuzzy Sets

4. Elements of Intuitionistic Fuzzy Logics

5. Applications of Intuitionistic Fuzzy Sets

Open Problems in Intuitionistic Fuzzy Sets Theory

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.

(http://www.springer.com/in/book/9783790812282)

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