Fuzzy Set Theory — and Its Applications

  • Authors
  • H.-J. Zimmermann

Table of contents

  1. Front Matter
    Pages i-xxi
  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 23-44
    4. H.-J. Zimmermann
      Pages 45-51
    5. H.-J. Zimmermann
      Pages 53-67
    6. H.-J. Zimmermann
      Pages 69-90
    7. H.-J. Zimmermann
      Pages 91-108
  4. Applications of Fuzzy Set Theory

    1. Front Matter
      Pages 129-129
    2. H.-J. Zimmermann
      Pages 131-169
    3. H.-J. Zimmermann
      Pages 171-215
    4. H.-J. Zimmermann
      Pages 217-240
    5. H.-J. Zimmermann
      Pages 241-282
    6. H.-J. Zimmermann
      Pages 283-332
    7. H.-J. Zimmermann
      Pages 333-367
    8. H.-J. Zimmermann
      Pages 369-372
  5. Back Matter
    Pages 373-399

About this book


Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others.
Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction.
This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.


Extension cognition control decision theory expert system fuzziness fuzzy logic fuzzy mathematics fuzzy sets intelligence mathematics operations research pattern recognition robotics set theory

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1991
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-015-7951-3
  • Online ISBN 978-94-015-7949-0
  • Buy this book on publisher's site