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Fuzzy Set Theory

Basic Concepts, Techniques and Bibliography

  • R.¬†Lowen

Table of contents

  1. Front Matter
    Pages i-xiv
  2. R. Lowen
    Pages 1-19
  3. R. Lowen
    Pages 21-47
  4. R. Lowen
    Pages 49-132
  5. R. Lowen
    Pages 133-141
  6. R. Lowen
    Pages 143-168
  7. R. Lowen
    Pages 169-239
  8. R. Lowen
    Pages 241-404
  9. Back Matter
    Pages 405-408

About this book

Introduction

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.

Keywords

Extension Pattern Recognition cognition control expert system fuzzy fuzzy logic fuzzy sets linear optimization neural networks operations research set theory sets

Authors and affiliations

  • R.¬†Lowen
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of AntwerpAntwerpBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8741-9
  • Copyright Information Springer Science+Business Media B.V. 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4706-9
  • Online ISBN 978-94-015-8741-9
  • Buy this book on publisher's site