文摘
英文文摘
NOTATION INDEX
原创性声明及关于学位论文使用授权的声明
Chapter1 Introduction
§1.1 The Background of Presenting Rough Sets
§1.2 The Development and Research Present Situation of Rough Sets Theory
§1.3 The Research Present Situation on Application of Rough Sets Theory
§1.4 The Conceptions and Properties of Z. Pawlak Rough Sets
§1.5 S-rough Sets and Function S-rough Sets
§1.6 The Structure and Innovation of This Thesis
Chapter2 λ-rough Fuzzy Sets and Its Decomposition
§2.1 λ-rough Sets and Its Structure
§2.2 The Properties of λ-rough Sets
§2.3 The Basic Conceptions of λ-rough Fuzzy Sets
§2.4 The Union and Intersection Decomposition Theorem of λ-rough Fuzzy Sets
§2.5 The Decomposition Form of (R)-rough Sets and (R)-rough Fuzzy Sets
Chapter3 Rough Similarity Degree and Its Characteristics
§3.1 The Conception of rough similarity Degree
§3.2 Properties of Rough Similarity Degree
§3.3 Rough Similarity Degree and Its Rough Clustering
§3.4 Rough Pattern Recognition Producing By Rough Clustering
§3.5 The Application of Rough Similarity Degree in S-rough Sets
Chapter4 Function S-Rough Sets and Its Rough Similarity Degree Characteristics
§4.1 Function One Direction S-rough Sets
§4.2 Dual of Function One Direction S-rough Sets
§4.3 R-Function Equivalence Class and Its Generated Rough Law
§4.4 Function Rough Sets and Its Rough Similarity Degree
§4.5 The Application of Function Rough Algebra Space
Chapter5 Rough Class and Its Rough Similarity Degree Characteristics
§5.1 Rough Class and Class Rough Similarity Degree Definition
§5.2 The Properties of Class Rough Similarity Degree
§5.3 Rough Characteristic of Dynamic Class
§5.4 The Characteristic of Dynamic Class about Rough Similarity Degree
Chapter6 Summary and Prospection
Bibliography
CURRICULUM VITAE
致谢