语言真值概念格及其应用（英文版）

Contents
Preface
Chapter 1 Introduction 1
1.1 Basic Academic Ideas 1
1.2 Classical Concept Lattice 2
1.3 Fuzzy Concept Lattice 4
1.4 Lattice-Valued Logic and Lattice Implication Algebra 6
1.5 Status of Concept Lattice 9
Chapter 2 Linguistic Truth-Valued Concept Lattice 15
2.1 Introduction 15
2.2 Linguistic Truth-Valued Lattice Implication Algebra 16
2.3 Linguistic Truth-Valued Concept Lattice 27
2.4 Matrix Constructing Method of Linguistic Truth-Valued Concept Lattice 30
Chapter 3 Reduction Methods of Linguistic Truth-Valued Concept Lattice 43
3.1 Introduction 43
3.2 Attribute Reduction of Linguistic Truth-Valued Concept Lattice 44
3.3 Object Reduction of Linguistic Truth-Valued Concept Lattice 49
Chapter 4 Distributed Computing and Parallel Processing of Linguistic Truth-Valued Concept Lattice 55
4.1 Introduction 55
4.2 Representation Algorithm of Extended Linguistic Truth-Valued Formal Context 56
4.3 Decomposition Operation of Linguistic Truth-Valued Concept Lattice 65
4.4 Combination Operation of Linguistic Truth-Valued Concept Lattice 73
Chapter 5 Uncertainty Reasoning Based on Linguistic Truth-Valued Concept Lattice 85
5.1 Introduction 85
5.2 Internal Approximate Uncertainty Reasoning Method Based on Linguistic Truth-Valued Concept Lattice 87
5.3 External Approximate Uncertainty Reasoning Method Based on Linguistic Truth-Valued Concept Lattice 93
5.4 Relationship Between the Internal and External Approximate Uncertainty Reasoning Methods 99
Chapter 6 Decision Making Based on Linguistic Truth-Valued Concept Lattice 111
6.1 Introduction 111
6.2 Multi-Target Decision Model Based on Linguistic Truth-Valued Concept Lattice 113
6.3 Single-target Decision Model Based on Linguistic Truth-Valued Concept Lattice 127
6.4 The Application of Linguistic Truth-Valued Concept Lattice 139
References 147