Studies in Fuzziness and Soft Computing

Intuitionistic Fuzzy Sets

Theory and Applications

Authors: Atanassov, Krassimir T.

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About this book

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.

Table of contents (6 chapters)

  • Intuitionistic Fuzzy Sets

    Atanassov, Krassimir T.

    Pages 1-137

  • Interval Valued Intuitionistic Fuzzy Sets

    Atanassov, Krassimir T.

    Pages 139-177

  • Other Extensions of Intuitionistic Fuzzy Sets

    Atanassov, Krassimir T.

    Pages 179-198

  • Elements of Intuitionistic Fuzzy Logics

    Atanassov, Krassimir T.

    Pages 199-236

  • Applications of Intuitionistic Fuzzy Sets

    Atanassov, Krassimir T.

    Pages 237-288

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-7908-1870-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-7908-1228-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-3-7908-2463-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Intuitionistic Fuzzy Sets
Book Subtitle
Theory and Applications
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
35
Copyright
1999
Publisher
Physica-Verlag Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-7908-1870-3
DOI
10.1007/978-3-7908-1870-3
Hardcover ISBN
978-3-7908-1228-2
Softcover ISBN
978-3-7908-2463-6
Series ISSN
1434-9922
Edition Number
1
Number of Pages
XVIII, 324
Topics