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© 1996

Fuzzy Set Theory—and Its Applications

Book

Table of contents

  1. Front Matter
    Pages i-xx
  2. Introduction to Fuzzy Sets

    1. H.-J. Zimmermann
      Pages 1-7
  3. Fuzzy Mathematics

    1. Front Matter
      Pages 9-9
    2. H.-J. Zimmermann
      Pages 11-21
    3. H.-J. Zimmermann
      Pages 23-43
    4. H.-J. Zimmermann
      Pages 45-51
    5. H.-J. Zimmermann
      Pages 53-67
    6. H.-J. Zimmermann
      Pages 69-89
    7. H.-J. Zimmermann
      Pages 91-107
  4. Applications of Fuzzy Set Theory

    1. Front Matter
      Pages 127-128
    2. H.-J. Zimmermann
      Pages 129-172
    3. H.-J. Zimmermann
      Pages 173-201
    4. H.-J. Zimmermann
      Pages 203-240
    5. H.-J. Zimmermann
      Pages 241-280
    6. H.-J. Zimmermann
      Pages 281-320
    7. H.-J. Zimmermann
      Pages 321-367
    8. H.-J. Zimmermann
      Pages 369-401
    9. H.-J. Zimmermann
      Pages 403-405
  5. Back Matter
    Pages 407-435

About this book

Introduction

Fuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers.
The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. All chapters have been updated. Exercises are included.

Keywords

Extension control expert system fuzziness fuzzy fuzzy control fuzzy logic fuzzy mathematics fuzzy sets mathematics operations research set theory sets

Authors and affiliations

  1. 1.AachenGermany

Bibliographic information

  • Book Title Fuzzy Set Theory—and Its Applications
  • Authors Hans-Jürgen Zimmermann
  • DOI https://doi.org/10.1007/978-94-015-8702-0
  • Copyright Information Springer Science+Business Media B.V. 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-7923-9624-6
  • Softcover ISBN 978-94-015-8704-4
  • eBook ISBN 978-94-015-8702-0
  • Edition Number 3
  • Number of Pages XX, 435
  • Number of Illustrations 24 b/w illustrations, 0 illustrations in colour
  • Topics Mathematical Logic and Foundations
    Operations Research/Decision Theory
    Artificial Intelligence

Reviews

Praise for the Second Edition:
`[This book] can be quite useful for anyone interested in fuzzy set theory .... Those teaching courses in fuzzy set theory, especially in a more practical rather than abstract context, would do well to consider this textbook. Zimmerman has compiled a collection of information that is useful, clearly presented, and with the latest revision, reflects much current research.'
International Journal of General Systems, 21 (1992)
`I highly recommend this text for students, both novice and advanced in theory and applications, academics and industrial researchers. Of course, this book is a must for all academic libraries. Indeed, Professor Zimmermann, who as a researcher, author, editor and organizer of international meetings has contributed so much for the cause of the fuzzy sets and systems and the fuzzy community, deserves our compliments.'
Madan M. Gupta, University of Saskatchewan in OPSearch
`The up-to-date content as well as the author's style and method of presentation make the book to be one of the best presentations of the whole field of fuzziness and will maintain its role as one of the preferred introductions into that topic.'
European Journal of Operations Research