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Fuzzy Set Theory and Advanced Mathematical Applications

  • Book
  • © 1995

Overview

Editors:
  1. Da Ruan

    1. Belgian Nuclear Research Centre (SCK ยท CEN), Mol, Belgium

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Part of the book series: International Series in Intelligent Technologies (ISIT, volume 4)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Foundations of Fuzzy Set Theory

    1. Front Matter

      Pages 1-1
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    2. On the Evolution of the Mathematics of Fuzziness

      • Etienne Kerre
      Pages 3-34

    3. Closedness and Upper Semi-Continuity of Fuzzy Multivalued Mappings

      • Elena Tsiporkova-Hristoskova
      Pages 35-66

    4. An Order-Theorethic Approach to Solving Sup-T Equations

      • Bernard De Baets
      Pages 67-87

    5. Towards a Possibilistic Logic

      • Gert de Cooman
      Pages 89-133

  3. Decision Making and Systems Science

    1. Front Matter

      Pages 135-135
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    2. Fuzzy Dynamic Programming: A New Quality Through Fuzzy Sets

      • Janusz Kacprzyk
      Pages 137-154

    3. On Transitivity of Fuzzy Preference Relations in Ranking Fuzzy Numbers

      • Xuzhu Wang, Da Ruan
      Pages 155-173

    4. Information Aggregation: Ethical and Computational Issues

      • Vincenzo Cutello, Javier Montero
      Pages 175-200

    5. On the Notion State in Multistate Structure Function Theory

      • Bart Cappelle
      Pages 201-221

  4. Fuzzy Logic, Fuzzy Control, and Neuro-Fuzzy Control

    1. Front Matter

      Pages 223-223
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    2. Fuzzy Logic and Neural Systems

      • Madan M. Gupta
      Pages 225-244

    3. Some Mathematical Problems of Fuzzy Controllers

      • Lรกszlรณ T. Kรณczy
      Pages 245-265

    4. Keep Fuzzy Controllers Fuzzy

      • Ann Nowรฉ
      Pages 267-289

    5. Comparative Study of Fuzzy Control, Neural Network Control and Neuro-Fuzzy Control

      • Jelena Godjevac
      Pages 291-322

  5. Back Matter

    Pages 323-324
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Keywords

About this book

Fuzzy Set Theory and Advanced Mathematical Applications contains contributions by many of the leading experts in the field, including coverage of the mathematical foundations of the theory, decision making and systems science, and recent developments in fuzzy neural control. The book supplies a readable, practical toolkit with a clear introduction to fuzzy set theory and its evolution in mathematics and new results on foundations of fuzzy set theory, decision making and systems science, and fuzzy control and neural systems. Each chapter is self-contained, providing up-to-date coverage of its subject.
Audience: An important reference work for university students, and researchers and engineers working in both industrial and academic settings.

Editors and Affiliations

  • Belgian Nuclear Research Centre (SCK ยท CEN), Mol, Belgium

    Da Ruan

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