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Li Yang 著 / 科学出版社 / 2018-05 / 平装
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上书时间2024-04-07
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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
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