Fuzzy Sets and Systems Theory and Applications

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Author(s): Didier Dubois and Henri Prade (Eds.)
Series: Mathematics in Science and Engineering 144
Publisher: Academic Press
Year: 1980

Language: English
Pages: iii-xvii, 1-393
Tags: Математика;Математическая логика;Нечеткая логика;Нечеткие множества;

Content:
Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Foreword Original Research Article
Pages xiii-xiv
Lotfi A. Zadeh

Preface
Pages xv-xvi
Didier Dubois, Henri Prade

Acknowledgments
Page xvii

Part I Introduction
Pages 1-6

Part II Mathematical Tools
Page 7

Chapter 1 Fuzzy Sets
Pages 9-35

Chapter 2 Extension Principle, Extended Operations, and Extended Fuzzy Sets
Pages 36-67

Chapter 3 Fuzzy Relations
Pages 68-94

Chapter 4 Fuzzy Functions
Pages 95-124

Chapter 5 Fuzzy Measures. Probabilities/Possibilities
Pages 125-147

Part III Fuzzy Models and Formal Structures
Page 149

Chapter 1 Multivalent and Fuzzy Logics
Pages 151-187

Chapter 2 Dynamic Fuzzy Systems
Pages 188-209

Chapter 3 Fuzzy Languages- Fuzzy Algorithms
Pages 210-241

Chapter 4 Fuzzy Models for Operations Research
Pages 242-251

Part IV Systems-Oriented Fuzzy Topics
Page 253

Chapter 1 Where Do “They” Come from?
Pages 255-264

Chapter 2 From Programming Languages to Natural Languages
Pages 265-276

Chapter 3 Fuzzy Sets in Decision-Making
Pages 277-296

Chapter 4 Fuzzy Control
Pages 297-307

Chapter 5 Fuzzy Sets in Learning Systems
Pages 308-316

Chapter 6 Pattern Classification with Fuzzy Sets
Pages 317-334

Chapter 7 Fuzzy Diagnosis
Pages 335-340

Chapter 8 Fuzzy Sets in the Identification of Structures
Pages 341-348

Chapter 9 Fuzzy Games
Pages 349-352

Chapter 10 Fuzzy Sets and Catastrophes
Pages 353-355

Part V A Survey of Potential Applications
Pages 357-369

Conclusion
Pages 371-372

References in the Nonfuzzy Literature
Pages 373-375

List of the Most Commonly used Symbols
Pages 377-380

Author Index
Pages 381-387

Subject Index
Pages 389-393