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  • Book
  • © 1999

Intuitionistic Fuzzy Sets

Theory and Applications

Authors:

  1. Krassimir T. Atanassov

    1. Centre of Biomedical Engineering, Bulgarian Academy of Sciences, Sofia-1113, Bulgaria

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  • Comprehensive, complete coverage of virtually all results up to now in the theory and applications of IFSs
  • Referential character

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 35)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XVIII
    PDF

  2. Intuitionistic Fuzzy Sets

    • Krassimir T. Atanassov
    Pages 1-137

  3. Interval Valued Intuitionistic Fuzzy Sets

    • Krassimir T. Atanassov
    Pages 139-177

  4. Other Extensions of Intuitionistic Fuzzy Sets

    • Krassimir T. Atanassov
    Pages 179-198

  5. Elements of Intuitionistic Fuzzy Logics

    • Krassimir T. Atanassov
    Pages 199-236

  6. Applications of Intuitionistic Fuzzy Sets

    • Krassimir T. Atanassov
    Pages 237-288

  7. Open Problems in Intuitionistic Fuzzy Sets Theory

    • Krassimir T. Atanassov
    Pages 289-291

  8. Back Matter

    Pages 293-324
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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.
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Keywords

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Authors and Affiliations

  • Centre of Biomedical Engineering, Bulgarian Academy of Sciences, Sofia-1113, Bulgaria

    Krassimir T. Atanassov

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Bibliographic Information

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Buy it now

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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