摘要 | 第1-7页 |
Abstract | 第7-11页 |
Chapter 1 Preface | 第11-19页 |
§1.1 Background and significance | 第11-13页 |
§1.2 Present research status | 第13-17页 |
§1.2.1 Research status of concept lattice | 第13-17页 |
§1.2.2 Decision making based on concept lattice | 第17页 |
§1.3 Research contents of this paper | 第17-19页 |
Chapter 2 Concept Lattice and Lattice Implication Algebra | 第19-26页 |
§2.1 Introduction | 第19页 |
§2.2 The basic theory of concept lattice | 第19-22页 |
§2.3 Lattice implication algebra | 第22-26页 |
Chapter 3 Lattice-Valued Concept Lattice and its Matrix Constructing Algorithm | 第26-41页 |
§3.1 Introduction | 第26-27页 |
§3.2 Lattice-valued concept lattice based on lattice implication algebra | 第27-32页 |
§3.3 Non-numerical matrix operations | 第32-34页 |
§3.4 Matrix constructing method of lattice-valued concept lattice | 第34-41页 |
§3.4.1 Matrix representation and properties of lattice-valued concept lattice | 第35-39页 |
§3.4.2 Matrix constructing algorithm of lattice-valued concept lattice | 第39-41页 |
Chapter 4 Reduction Methods of Lattice-Valued Concept Lattice | 第41-51页 |
§4.1 Introduction | 第41-42页 |
§4.2 Attribute reduction of lattice-valued concept lattice | 第42-47页 |
§4.3 Object reduction of lattice-valued concept lattice | 第47-51页 |
Chapter 5 Decomposition and Combination Operations of Lattice-Valued Concept Lattice | 第51-83页 |
§5.1 Introduction | 第51-52页 |
§5.2 Representation of extended lattice-valued concept lattice | 第52-60页 |
§5.2.1 Extended lattice-valued formal context | 第54-58页 |
§5.2.2 Attribute extended algorithm | 第58-60页 |
§5.3 Decomposition operation of lattice-valued concept lattice | 第60-69页 |
§5.4 Combination operation of lattice-valued concept lattice | 第69-83页 |
§5.4.1 Theoretical basis for combination operation | 第70-77页 |
§5.4.2 Combination algorithm | 第77-83页 |
Chapter 6 Uncertainty Reasoning Based on Lattice-Valued Concept Lattice | 第83-107页 |
§6.1 Introduction | 第83-85页 |
§6.2 Internal approximate uncertainty reasoning method based on lattice-valued concept lattice | 第85-91页 |
§6.3 External approximate uncertainty reasoning method based on lattice-valued concept lattice | 第91-98页 |
§6.4 Relationship between the internal and external uncertainty reasoning methods | 第98-107页 |
Chapter 7 Decision Making Based on Lattice-Valued Concept Lattice | 第107-131页 |
§7.1 Introduction | 第107-109页 |
§7.2 Single-target decision model based on lattice-valued concept lattice | 第109-121页 |
§7.2.1 Formation of single-target decision model | 第109-116页 |
§7.2.2 Properties of single-target decision rules | 第116-121页 |
§7.3 Multi-target decision model based on lattice-valued concept lattice | 第121-131页 |
§7.3.1 Formation of multi-target decision model | 第121-123页 |
§7.3.2 Decision rules extraction of multi-target decision model | 第123-131页 |
Conclusions and Future Works | 第131-133页 |
§8.1 Conclusions | 第131-132页 |
§8.2 Future works | 第132-133页 |
Acknowledgements | 第133-134页 |
References | 第134-142页 |
附录:攻读博士学位期间的论文发表情况与科研情况 | 第142-144页 |