| Abstract | 第7-11页 |
| Abstract in Chinese | 第12-16页 |
| Notation | 第16-17页 |
| Chapter 1 Introduction | 第17-31页 |
| 1.1 A Survey for the Advances of Rough Set Theory | 第17-20页 |
| 1.1.1 Introduction of Rough Set Theory and Its Development | 第17-18页 |
| 1.1.2 Main Problems Studied in Rough Set Theory | 第18-20页 |
| 1.2 Basic Concepts of Rough Set | 第20-28页 |
| 1.2.1 Definition of Rough Set and Some Important Concepts | 第21-22页 |
| 1.2.2 Characterized Description of Rough Set | 第22-24页 |
| 1.2.3 Rough Membership Function | 第24页 |
| 1.2.4 Reduction and Core of Knowledge | 第24-26页 |
| 1.2.5 Dependency of Knowledge | 第26-27页 |
| 1.2.6 Representation Methods of Knowledge | 第27-28页 |
| 1.3 Main Work in This Paper | 第28-31页 |
| Chapter 2 New Methods for Measuring Fuzziness in Rough Set | 第31-53页 |
| 2.1 Fuzziness in Rough Set | 第31-44页 |
| 2.1.1 Concepts of Fuzziness | 第31-33页 |
| 2.1.2 Fuzziness in Rough Set Based on Equivalence Relation | 第33-34页 |
| 2.1.3 Two New Calculating Formulae of the Fuzziness in Rough Set | 第34-41页 |
| 2.1.4 Generalized Fuzziness in Rough Set Based on General Binary Relation | 第41-44页 |
| 2.2 Measures of Similarity Between Rough Sets | 第44-50页 |
| 2.2.1 Concepts of Similarity | 第44-45页 |
| 2.2.2 Similarity Between Rough Sets Based on Equivalence Relation | 第45-49页 |
| 2.2.3 Generalized Similarity Between Rough Sets Based on General Binary Relation | 第49-50页 |
| 2.3 Fuzziness Induced by Similarity Based on Equivalence Relation | 第50-53页 |
| Chapter 3 Extensions of Rough Set Based on Rough Membership Function | 第53-77页 |
| 3.1 Rough Membership Function Representation of Pawlak Rough Set and Its Limitations | 第53-54页 |
| 3.2 λ-Rough Set Based on Rough Membership Function | 第54-64页 |
| 3.2.1 λ-Rough Set Based on Equivalence Relation | 第54-59页 |
| 3.2.2 Generalized λ-Rough Set Based on General Binary Relation | 第59-64页 |
| 3.3 (α,β)-Rough Set Based on Rough Membership Function | 第64-77页 |
| 3.3.1 (α,β)-Rough Set Based on Equivalence Relation | 第64-71页 |
| 3.3.2 Generalized(α,β)-Rough Set Based on General Binary Relation | 第71-77页 |
| Chapter 4 Rough Set and Its Produced Knowledge and Knowledge Granule | 第77-105页 |
| 4.1 Characters of Knowledge Granule and Calculation of Knowledge Granulation | 第77-88页 |
| 4.1.1 Characters of Knowledge Granule | 第77-79页 |
| 4.1.2 Calculation of Knowledge Granulation | 第79-84页 |
| 4.1.3 Relations Between Knowledge Granulation, Discernibility Degree and Entropy | 第84-88页 |
| 4.2 Knowledge Granulation Representation of the Concepts and Operations in Rough Set Theory | 第88-91页 |
| 4.3 Attribute Reduction Based on Knowledge Granulation Under Information Systems | 第91-97页 |
| 4.3.1 Attribute Reduction of Information Systems | 第91-92页 |
| 4.3.2 Knowledge Granulation of Information Systems | 第92-93页 |
| 4.3.3 Attribute Significance of Information Systems | 第93-95页 |
| 4.3.4 A Knowledge Granulation-based Algorithm for Attribute Reduction under Information Systems | 第95-97页 |
| 4.4 Attribute Reduction Based on Knowledge Granulation Under Incomplete Information Systems | 第97-105页 |
| 4.4.1 Basic Concepts of Incomplete Information Systems | 第97-99页 |
| 4.4.2 Attribute Reduction of Incomplete Information Systems | 第99-100页 |
| 4.4.3 Knowledge Granulation of Incomplete Information Systems | 第100-101页 |
| 4.4.4 Attribute Significance of Incomplete Information Systems | 第101-102页 |
| 4.4.5 A Knowledge Granulation-based Algorithm for Attribute Reduction under Incomplete Information Systems | 第102-105页 |
| Chapter 5 Inducing Rough Region and Inducing Rough Correlation Region of Rough Set | 第105-118页 |
| 5.1 Concepts and Properties of Inducing Rough Region and Inducing Rough Correlation Region | 第105-109页 |
| 5.1.1 Basic Inducing Rough Factor and Basic Inducing Rough Correlation Factor | 第105-106页 |
| 5.1.2 Concepts and Properties of Inducing Rough Region and Inducing Rough Correlation Region | 第106-109页 |
| 5.2 Definitions and Properties of Some Particular Rough Sets | 第109-113页 |
| 5.3 Approximately Exact of Rough Problems in Rough Set | 第113-118页 |
| 5.3.1 An Impact of the Structure Feature of Inducing Rough Region and Inducing Rough Correlation Region on the Accuracy of Classification | 第113-114页 |
| 5.3.2 Approximately Exact Methods of Rough Problems | 第114-118页 |
| Conclusions | 第118-120页 |
| Bibliography | 第120-129页 |
| Acknowledgements | 第129-130页 |
| Papers Published and Research Projects Undertaken During Studying for the Doctorate | 第130-131页 |
| 学位论文评阅及答辩情况表 | 第131页 |
