| 摘要 | 第6-8页 |
| ABSTRACT | 第8-9页 |
| Symbols and Abbreviations | 第16-17页 |
| Chapter 1 Introduction | 第17-29页 |
| 1.1 Research motivation | 第17-25页 |
| 1.1.1 General background | 第17-20页 |
| 1.1.2 Related work | 第20-23页 |
| 1.1.3 Objectives and problem descriptions | 第23-25页 |
| 1.2 Contributions | 第25-27页 |
| 1.3 Organization of the dissertation | 第27-29页 |
| Chapter 2 Basic definitions and properties | 第29-37页 |
| 2.1 Triangular norms and fuzzy negation | 第29-31页 |
| 2.2 Fuzzy equivalence | 第31-32页 |
| 2.3 Implication functions | 第32-37页 |
| Chapter 3 Some new approaches to constructingsimilarity measures | 第37-54页 |
| 3.1 Introduction | 第37-38页 |
| 3.2 Generating fuzzy equivalencies | 第38-43页 |
| 3.2.1 Fuzzy equivalencies based on biresiduation | 第38-39页 |
| 3.2.2 Fuzzy equivalencies based on fuzzy connectives | 第39-43页 |
| 3.3 Constructing similarity measures via fuzzy equivalencies | 第43-47页 |
| 3.4 A comparison of properties of similarity measures | 第47-52页 |
| 3.5 Discussions | 第52-54页 |
| Chapter 4 Some new approaches to constructingsimilarity measures of interval-valued fuzzy sets | 第54-70页 |
| 4.1 Introduction | 第54-55页 |
| 4.2 Constructing similarity measures of IVFSs | 第55-62页 |
| 4.2.1 The concept of similarity measures of IVFSs | 第56-57页 |
| 4.2.2 Approaches to constructing similarity measures of IVFSs | 第57-62页 |
| 4.3 Properties of similarity measures of IVFSs | 第62-69页 |
| 4.4 Discussions | 第69-70页 |
| Chapter 5 Relations among similarity measure and otherfuzzy measures | 第70-98页 |
| 5.1 Introduction | 第70-72页 |
| 5.2 Relations among similarity measure and divergence measure | 第72-85页 |
| 5.2.1 Generating dissimilarity functions | 第73-76页 |
| 5.2.2 Two methods of construction of divergence measures | 第76-82页 |
| 5.2.3 Some properties of divergence measures | 第82-85页 |
| 5.3 Relations among similarity measure, subsethood measure and fuzzy entropy | 第85-96页 |
| 5.3.1 Relation between similarity measure and subsethood measure | 第85-90页 |
| 5.3.2 Relation between similarity measure and fuzzy entropy. 74 | 第90-93页 |
| 5.3.3 Relation between subsethood measure and fuzzy entropy. 77 | 第93-96页 |
| 5.4 Discussions | 第96-98页 |
| Chapter 6 Similarity-based approximate reasoningmethod | 第98-113页 |
| 6.1 Introduction | 第98-99页 |
| 6.2 Two approaches to similarity-based approximate reasoning | 第99-103页 |
| 6.2.1 Raha's approach to similarity-based approximate reasoning | 第100-101页 |
| 6.2.2 Feng's approach to similarity-based approximate reasoning | 第101-103页 |
| 6.3 Several properties of Raha's similarity-based approximate reasoning method | 第103-112页 |
| 6.3.1 The relationships among the four inferred conclusions | 第103-105页 |
| 6.3.2 The monotonicity of Raha's similarity-based approximate reasoning method | 第105-106页 |
| 6.3.3 The approximation property of Raha's similarity-based approximate reasoningmethod | 第106-112页 |
| 6.4 Discussions | 第112-113页 |
| Chapter 7 Robustness of fuzzy connectives and fuzzyreasoning with respect to Chebyshev distance | 第113-129页 |
| 7.1 Introduction | 第113-115页 |
| 7.2 Robustness of fuzzy connectives with respect to Chebyshev distance | 第115-123页 |
| 7.2.1 5-equality and maximum perturbation of fuzzy sets | 第115页 |
| 7.2.2 Robustness of three kinds of fuzzy connectives | 第115-123页 |
| 7.3 Robustness of the generalized modus ponens based on Chebyshev distance | 第123-128页 |
| 7.4 Discussions | 第128-129页 |
| Chapter 8 Robustness of fuzzy reasoning with respect togeneral divergence measures | 第129-142页 |
| 8.1 Introduction | 第129-130页 |
| 8.2 Constructions of DF-metrics and their properties | 第130-135页 |
| 8.2.1 Definition of DF-metric | 第131-132页 |
| 8.2.2 Constructions of DF-metrics | 第132-133页 |
| 8.2.3 Properties of DF-metrics | 第133-135页 |
| 8.3 Robustness of fuzzy connectives and fuzzy reasoning with respect to generaldivergence measures | 第135-141页 |
| 8.3.1 Robustness of fuzzy connectives with respect to general divergencemeasures | 第136-138页 |
| 8.3.2 Robustness of fuzzy reasoning with respect to general divergencemeasures | 第138-141页 |
| 8.4 Discussions | 第141-142页 |
| Chapter 9 Conclusions and further works | 第142-145页 |
| 9.1 Conclusions | 第142-143页 |
| 9.2 Further works | 第143-145页 |
| Acknowledgements | 第145-147页 |
| Bibliography | 第147-154页 |
| List of publications and research projects | 第154-155页 |
