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Fundamentals of Fuzzy Sets

  • Didier Dubois
  • Henri Prade
Book

Part of the The Handbooks of Fuzzy Sets Series book series (FSHS, volume 7)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. General Introduction

    1. Didier Dubois, Henri Prade
      Pages 1-18
  3. Fuzzy Sets

    1. Front Matter
      Pages 19-19
    2. Didier Dubois, Walenty Ostasiewicz, Henri Prade
      Pages 21-124
    3. János Fodor, Ronald R. Yager
      Pages 125-193
    4. Taner Bilgiç, I. Burhan Türkşen
      Pages 195-227
  4. Fuzzy Relations

    1. Front Matter
      Pages 231-231
    2. Sergei Ovchinnikov
      Pages 233-259
    3. Dionis Boixader, Joan Jacas, Jordi Recasens
      Pages 261-290
  5. Uncertainty

    1. Front Matter
      Pages 341-341
    2. Didier Dubois, Hung T. Nguyen, Henri Prade
      Pages 343-438
    3. George J. Klir
      Pages 439-457
    4. Nikhil R. Pal, James C. Bezdek
      Pages 459-480
  6. Fuzzy Sets on the Real Line

    1. Front Matter
      Pages 481-481
    2. Didier Dubois, Etienne Kerre, Radko Mesiar, Henri Prade
      Pages 483-581
    3. Phil Diamond, Peter Kloeden
      Pages 583-641
  7. Back Matter
    Pages 643-647

About this book

Introduction

Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field.
The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews information measures of specificity and fuzziness. The last part concerns fuzzy sets on the real line - computation with fuzzy intervals, metric topology of fuzzy numbers, and the calculus of fuzzy-valued functions. Each chapter is written by one or more recognized specialists and offers a tutorial introduction to the topics, together with an extensive bibliography.

Keywords

Analysis fuzzy modeling set theory sets uncertainty

Editors and affiliations

  • Didier Dubois
    • 1
  • Henri Prade
    • 1
  1. 1.Institut de Recherche en Informatique de ToulouseUniversité Paul SabatierToulouse Cedex 4France

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-4429-6
  • Copyright Information Kluwer Academic Publishers 2000
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-6994-3
  • Online ISBN 978-1-4615-4429-6
  • Series Print ISSN 1388-4352
  • Buy this book on publisher's site