Fuzzy Set Theory and Advanced Mathematical Applications

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

      • László T. Kóczy

      Pages 245-265

   4. Keep Fuzzy Controllers Fuzzy

      • Ann Nowé

      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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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.

• control
• evolution
• fuzziness
• fuzzy
• fuzzy control
• fuzzy controller
• fuzzy logic
• fuzzy sets
• mathematics
• programming
• set theory

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

  Da Ruan

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