语言真值概念格及其应用（英文版）
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作者Li Yang 著
出版社科学出版社
出版时间2018-05
版次31
装帧平装
货号CKG0G
上书时间2021-01-21
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- Li Yang著的《Linguistic Truth-Valued Concept Lattice》 belongs to the research category of the mathematical bases and applications of artificial intelligence with uncertainty, which aims to establish a kind of mathematical model directly analyzing and handling uncertainty linguistic information.We expect the book to be useful for AI research and as a reference book for the research on theory and application of concept lattice. This book may be used as a text book for graduate students in the relevant areas. The book is divided into three parts. Part I (Chapter 1) provides the academic background of this book and presentresearch status of concept lattice. Part II (Chapter 2-- Chapter 4) introduces the theoretical research of linguistic truth-valued concept lattice. Concretely, the mathematical model of linguistic truth-valued concept lattice is established in Chapter 2, in which the matrix constructing method is proposed, the non-numerical matrix operations are defined and some properties are talked about; reduction methods of linguistic truth-valued concept lattice are proposed in Chapter 3, where attribute reduction methods and object reduction methods of linguistic truth-valued concept lattice based on attributes set and objects set are studied and their reduction algorithms are presented; distributed computation and parallel processing of linguistic truth-valued concept lattice are proposed in Chapter 4, where representation algorithm of extended linguistic truth-valued formal context is given, and the decomposition operation and combination operation of linguistic truth-valued concept lattice are presented. Part III(Chapter 5--Chapter 6) introduces the application study of linguistic truth-valued concept lattice. Concretely, uncertainty reasoning based on linguistic truth-valued concept lattice are proposed in Chapter 5, where according to the relation between the extent and intent of the formal concept and approximation theory of sets,internal approximate uncertainty reasoning method and external approximate uncertainty reasoning method are given and their rationality and the relationship between them are talked about; two kinds of decision models based on linguistic truth-valued concept lattice are proposed in Chapter 6, the multi-target decision model and single-target decision model based on linguistic truth-valued concept lattice are given, the decision rules extracting algorithms are presented and some properties of decision rules are talked about; furthermore, the intelligent disease diagnosis system created based on the decision concept lattice is applied into the medical field, which will be regarded as a auxiliary tool for doctors' diagnoses.
图书标准信息
- 作者 Li Yang 著
- 出版社 科学出版社
- 出版时间 2018-05
- 版次 31
- ISBN 9787030572462
- 定价 59.00元
- 装帧 平装
- 【目录】
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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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