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Intuitionistic Fuzzy Sets: Theory and Applications 1999 Edition
Contributor(s): Atanassov, Krassimir T. (Author)

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 ISBN: 3790812285     ISBN-13: 9783790812282
Publisher: Physica-Verlag
OUR PRICE: $161.49  

Binding Type: Hardcover - See All Available Formats & Editions
Published: October 1999
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Annotation: The basic definitions and properties of the Intuitionistic Fuzzy Sets (IFSs) are introduced in the book. The IFSs are substantial extensions of the ordinary fuzzy sets. IFSs are objects having degrees of membership and of non-membership, such that their sum is exactly 1. The most important property of IFS not shared by the fuzzy sets is that modal-like operators can be defined over IFSs. The IFSs have essentially higher describing possibilities than fuzzy sets. In this book, readers will find discussions on some of the IFS extensions (for example, interval-values IFSs, temporal IFSs and others) and applications (e.g. intuitionistic fuzzy expert systems, intuitionistic fuzzy neural networks, intuitionistic fuzzy systems, intuitionistic fuzzy generalized nets, and other).

Click for more in this series: Studies in Fuzziness and Soft Computing
Additional Information
BISAC Categories:
- Mathematics | Set Theory
- Computers | Intelligence (ai) & Semantics
- Mathematics | Logic
Dewey: 511.322
LCCN: 99-44591
Series: Studies in Fuzziness and Soft Computing
Physical Information: 1.02" H x 6.43" W x 9.59" L (1.39 lbs) 324 pages
Features: Illustrated
 
Descriptions, Reviews, Etc.
Publisher Description:
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.
 
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