مجموعه‌های فازی و سیستم‌ها: نظریه و کاربردها (ریاضیات در علم و مهندسی)

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 FRONT 395 Contents 401 Foreward 407 Preface 409 Acknowledgments 411 Copyright Information 398 I INTRODUCTION 1 II MATHEMATICAL TOOLS 7 1 FUZZY SETS 9 2 EXTENSION PRINCIPLE, EXTENDED OPERATIONS, AND EXTENDED FUZZY SETS 36 3 FUZZY RELATIONS 68 4 FUZZY FUNCTIONS 95 5 FUZZY MEASURES. PROBABILITIES/ POSSIBILITIES 125 III FUZZY MODELS AND FORMAL STRUCTURES 149 1 MULTIVALENT AND FUZZY LOGICS 151 2 DYNAMIC FUZZY SYSTEMS 188 3 FUZZY LANGUAGES— FUZZY ALGORITHMS 210 4 FUZZY MODELS FOR OPERATIONS RESEARCH 242 IV SYSTEMS-ORIENTED FUZZY TOPICS 253 1 WHERE DO “THEY” COME FROM? 255 2 FROM PROGRAMMING LANGUAGES TO NATURAL LANGUAGES 265 3 FUZZY SETS IN DECISION-MAKING 277 4 FUZZY CONTROL 297 5 FUZZY SETS IN LEARNING SYSTEMS 308 6 PATTERN CLASSIFICATION WITH FUZZY SET 317 7 FUZZY DIAGNOSIS 335 8 FUZZY SETS IN THE IDENTIFICATION OF STRUCTURES 341 9 FUZZY GAMES 349 10 FUZZY SETS AND CATASTROPHES 353 V SURVEY OF POTENTIAL APPLICATIONS 357 CONCLUSION 371 REFERENCES IN THE NONFUZZY LITERATURE 373 SYMBOLS 377 AUTHOR INDEX 381 A 381 B 381 C 382 D 382 E 382 F 382 G 383 H 383 I 383 J 383 K 383 L 384 M 384 N 385 O 385 P 385 R 385 S 386 T 386 W 387 Y 387 Z 387 SUBJECT INDEX 389 A 389 B 389 C 389 D 390 E 390 F 390 G 391 H 391 I 391 J 392 K 392 L 392 M 392 N 392 O 392 Q 393 R 393 S 393 T 393 U 393 V 393 All our books are brand new. We ship worldwide