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模糊集的理论、应用和新观点2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

（美）乔治·克勒著
出版社：北京：北京师范大学出版社
ISBN：7303052941
出版时间：2000
标注页数：358页
文件大小：11MB
文件页数：373页
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图书目录

PARTI：FUNDAMENTALS1

CHAPTER1. CLASSICAL SETS VERSRS FUZZY SETS1

1.1 Introduction1

1.2 Crisp Sets: Terminology and Notation6

1.3 Basic Concepts of Fuzzy Sets10

1.4 Representations of Fuzzy Sets18

1.5 Extension Principle22

CHAPTER 2. OPERATIONS ON FUZZY SETS28

2.1 Fuzzy Complements28

2.2 Fuzzy Intersecions and Unions31

2.3 Averaging Operations35

2.4 Arithmetic Oerations on Fuzzy Numbers40

CHAPTER 3. FUZZY RELATIONS50

3.1 Basic Concepts of Fuzzy Relations50

3.2 Fuzzy Relations on a Single Set57

3.3 Fuzzy Relation Equations65

CHAPTER 4.FUZZY LOGIC69

4.1 Fuzzy Set Theory and Fuzzy logic69

4.2 Components of Fuzzy Logic71

4.3 Approximate Reasoning79

4.4 Fuzzy Logic and Possibility Theory81

PART II: APPLICATIONS87

CHAPTER 5. CONSTRUCTING FUZZY SETS87

CHAPTER 6. FUZZY SYSTEMS90

CHAPTER 7. FUZZY CONTROL96

CHAPTER 8 CLUSTERING, PATTERN RECOGNITION,AND IMAGE PROCESSING109

CHAPTER 9. DECISION MAKING112

CHAPTER 10. FUZZY INFORMATION AND KNOWLEDGEBASED SYSTEMS116

CHAPTER 11. ENGINEERING APPLICATIONS121

CHAPTER 12. OTHER APPLICATIONS125

BIBLIOGRAPHICAL COMMENTS TO PARTS I II129

BIBLIOGRPHICAL INDEX TO PARTS I II135

BIBLIOGRAPHY TO PARTS I II139

PART III. PERSONAL VIEWS173

CHAPTER 13.SIGNIFICANCE OF FUZZY SET THEORY173

CHAPTER 14.FROM CLASSICAL SETS TO FUZZY SETS:A Grand Paradigm Shift180

14.1. Introduction180

14.2. What are Scientific Paradigms and Paradigrn Shifts181

14.3. Characteristics of the New Uncertainty Paradigm182

14.4. The Role of Uncertainty in Science and Technology186

14.5. Stages in the Paradigm Shift195

14.6. Significant Issues of Future Research203

References205

CHAPTER 15. MULTIVALUED LOGICS VERSUS MODAL LOGICS: Alternative Frameworks for Uncertainty Modelling209

15.1. Attitudes Towards Uncertainty209

15.2. Uncertainty Theories211

15.3. Uncertainty and Multivalued Logics213

15.4. Modal Logics:An Overview218

15.5. Uncertainty and Modal Logics228

15.6. Conclusions248

References250

CHAPTER 16.MODAL LOGIC INTERPRETATION OF POSSIBILITY THEORY256

16.1. Introduction256

16.2. Basics of Possibility Theory257

16.3. Basics of Modal Logic258

16.4. Interpretation of Possibility Theory260

16.5. Completeness264

16.6. Conclusions268

References268

CHAPTER 17.FUZZY-SET INTERPRETATION OF POSSIBILITY THEORY270

17.1. Introduction270

17.2. Possibility Theory271

17.3 Possibility Theory and Dempster-Shafer Theory274

17.4 Standard Fuzzy-Set Interpretation of Possibility Theory276

17.5 The Issue of Subnormal Fuzzy Sets278

17.6 Revised Fuzzy-Set Interpretation of Possibility Theory281

17.7. Conclusions286

References287

CHAPTER 18. CONSTRAINED FUZZY ARITHMETIC290

18.1. Introduction290

18.2. Standard Fuzzy Arithmetic292

18.3. Constrained Fuzzy Arithmetic294

18.4. Requisite Equality Constraints298

18.5. Other Requisite Constraints302

18.6. Applications of Fuzzy Atithmetic305

18.7. Conclusions309

References310

CHAPTER 19. UNCERTAINTY AND PROBABILITY: A Debate315

19.1. Introduction: Setting the Stage315

19.2. What is Uncertainty317

19.3. Mathematical Frameworks for Conceptualizing Uncertainty319

19.4. Measures of Uncertainty326

19.5. Limitatios of Probability Theory334

19.6. Examples346

19.7. Comclusions352

References354