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Fuzzy Relation Equations and Their Applications to Knowledge Engineering

  • Antonio di Nola
  • Salvatore Sessa
  • Witold Pedrycz
  • Elie Sanchez
Book

Part of the Theory and Decision Library book series (TDLD, volume 3)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 1-5
  3. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 7-22
  4. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 23-48
  5. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 49-57
  6. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 59-69
  7. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 71-85
  8. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 87-103
  9. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 105-128
  10. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 129-144
  11. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 145-174
  12. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 175-185
  13. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 187-203
  14. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 205-223
  15. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 225-240
  16. Antonio di Nola, Salvatore Sessa, Witold Pedrycz, Elie Sanchez
    Pages 241-262
  17. Back Matter
    Pages 263-279

About this book

Introduction

It took many decades for Peirce's coneept of a relation to find its way into the microelectronic innards of control systems of eement kilns, subway trains, and tunnel-digging machinery. But what is amazing is that the more we leam about the basically simple coneept of a relation, the more aware we become of its fundamental importanee and wide ranging ramifications. The work by Di Nola, Pedrycz, Sanchez, and Sessa takes us a long distanee in this direction by opening new vistas on both the theory and applications of fuzzy relations - relations which serve to model the imprecise coneepts which pervade the real world. Di Nola, Pedrycz, Sanchez, and Sessa focus their attention on a eentral problem in the theory of fuzzy relations, namely the solution of fuzzy relational equations. The theory of such equations was initiated by Sanchez in 1976, ina seminal paper dealing with the resolution of composite fuzzy relational equations. Sinee then, hundreds of papers have been written on this and related topics, with major contributions originating in France, Italy, Spain, Germany, Poland, Japan, China, the Soviet Union, India, and other countries. The bibliography included in this volume highlights the widespread interest in the theory of fuzzy relational equations and the broad spectrum of its applications.

Keywords

algorithms control fuzziness fuzzy fuzzy control fuzzy controller fuzzy sets knowledge knowledge base knowledge engineering knowledge-based system knowledge-based systems optimization

Authors and affiliations

  • Antonio di Nola
    • 1
  • Salvatore Sessa
    • 1
  • Witold Pedrycz
    • 2
  • Elie Sanchez
    • 3
  1. 1.Facoltà di ArchitetturaUniversità di NapoliNapoliItaly
  2. 2.Department of Electrical EngineeringUniversity of ManitobaWinnipegCanada
  3. 3.Faculté de MédecineUniversité Aix-Marseille IIMarseilleFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-1650-5
  • Copyright Information Springer Science+Business Media B.V. 1989
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4050-3
  • Online ISBN 978-94-017-1650-5
  • Buy this book on publisher's site