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Fuzzy Set Theory

Basic Concepts, Techniques and Bibliography

  • Book
  • © 1996

Overview

Authors:
  1. R. Lowen

    1. Department of Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Elementary Set Theory

    • R. Lowen
    Pages 1-19

  3. Fuzzy Sets

    • R. Lowen
    Pages 21-47

  4. t-Norms, t-Conorms and Negations

    • R. Lowen
    Pages 49-132

  5. Special Types of Fuzzy Sets

    • R. Lowen
    Pages 133-141

  6. Fuzzy Real Numbers

    • R. Lowen
    Pages 143-168

  7. Fuzzy Logic

    • R. Lowen
    Pages 169-239

  8. Bibliography

    • R. Lowen
    Pages 241-404

  9. Back Matter

    Pages 405-408
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Keywords

About this book

The purpose of this book is to provide the reader who is interested in applications of fuzzy set theory, in the first place with a text to which he or she can refer for the basic theoretical ideas, concepts and techniques in this field and in the second place with a vast and up to date account of the literature. Although there are now many books about fuzzy set theory, and mainly about its applications, e. g. in control theory, there is not really a book available which introduces the elementary theory of fuzzy sets, in what I would like to call "a good degree of generality". To write a book which would treat the entire range of results concerning the basic theoretical concepts in great detail and which would also deal with all possible variants and alternatives of the theory, such as e. g. rough sets and L-fuzzy sets for arbitrary lattices L, with the possibility-probability theories and interpretations, with the foundation of fuzzy set theory via multi-valued logic or via categorical methods and so on, would have been an altogether different project. This book is far more modest in its mathematical content and in its scope.

Authors and Affiliations

  • Department of Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium

    R. Lowen

Bibliographic Information

  • Book Title: Fuzzy Set Theory

  • Book Subtitle: Basic Concepts, Techniques and Bibliography

  • Authors: R. Lowen

  • DOI: https://doi.org/10.1007/978-94-015-8741-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1996

  • Hardcover ISBN: 978-0-7923-4057-7Published: 31 May 1996

  • Softcover ISBN: 978-90-481-4706-9Published: 15 December 2010

  • eBook ISBN: 978-94-015-8741-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIV, 408

  • Topics: Mathematical Logic and Foundations, Artificial Intelligence, Operations Research/Decision Theory

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