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泛逻辑学原理
  • 中国人工智能学会
  • 书号:7030177622
    作者:何华灿
  • 外文书名:
  • 装帧:精装
    开本:B5
  • 页数:
    字数:461000
    语种:英文
  • 出版社:科学出版社
    出版时间:2006-08-12
  • 所属分类:B81 逻辑学(论理学)
  • 定价: ¥60.00元
    售价: ¥47.40元
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目录

  • Chapter 1 Research Compendium of Universal Logics
    1.1 Why Should Universal Logics Be Studied
    1.2 Aim of Universal Logics
    1.3 Main Contents of Universal Logics
    1.4 Classification of Universal Logics
    1.5 Main Tasks and Contents in the Book
    Chapter 2 Limitations of Fuzzy Logic
    2.1 Introduction
    2.2 Classical Propositional Logic System
    2.3 Analysis of Fuzzy Propositional Logic
    2.4 Conclusion
    Chapter 3 Exploration of Compensating Limitations
    3.1 Rationality of Zadeh Operators Group
    3.2 Practical Compensation for the Limitations
    3.3 Generalized Fuzzy AND/OR Operators Pair
    3.4 Research of Fuzzy Operators Based on Triangular Norm
    3.5 Conclusion
    Chapter 4 Relational flexibility in Fuzzy Logic
    4.1 Introduction
    4.2 Influence of Relational flexibility on Fuzzy Logic Operation Models
    4.3 Relational Flexibility in Real World
    4.4 Relational Flexibility and Fuzzy Measure Theory
    4.5 Conclusion
    Chapter 5 Generation Rules of Universal Logics Operation Models
    5.1 Introduction
    5.2 Generation Base of Universal Logics Operation Models
    5.3 Generator Integrity Clusters of Universal Logics Operation Models
    5.4 Operation Models of Partial-ordered and Pseudo Partial-ordered
    Universal Logics
    5.5 Operation Models of Hyper-ordered Universal Logics
    Chapter 6 N-Norm and N-Generator Integrity Clusters
    6.1 Definitions of N-Norm
    6.2 Main Properties of N-Norm
    6.3 Generation Method of N-Norm
    6.4 Definitions of N-Generator Integrity Cluster
    6.5 Generalized Self-closeness of Operations in N-Integrity Cluster
    6.6 Conclusion
    Chapter 7 Universal NOT Propositional Connective and Threshold Quantifier
    7.1 Threshold Quantifier and its Basic Properties
    7.2 Error Synthesis Law of N-Norm
    7.3 Universal NOT Propositional Connective and its Logic Formulas
    7.4 Conclusion
    Chapter 8 General Principles of T-Norm and S-Norm
    8.1 Definitions of T-Norm and S-Norm
    8.2 Main Properties of T-Norm and S-Norm
    8.3 Generation Methods of T-Norm and S-Norm
    8.4 Weak Dual Relations in N/T/S-Norms
    Chapter 9 T/S-Norms and T/S-Generator Integrity Clusters
    9.1 0-level T/S-Generator Integrity Clusters
    9.2 Determination of Generalized Correlation Coefficient h
    9.3 Compatible Condition and Compatible Operators Cluster
    9.4 Clusters of 0-level T-Norm and S-Norm
    9.5 Integrity Hyper-clusters of 1-level T-norm and S-norm
    9.6 Generalized Self-closeness of N-operations in 1-level T/S-Integrity Hyper-Clusters
    9.7 Conclusion
    Chapter 10 Binary Universal Propositional Connectives
    10.1 Universal AND Propositional Connective
    10.2 Universal OR Propositional Connective
    10.3 Universal Implication Propositional Connective and Universal Serial Reasoning
    10.4 Universal Equivalence Propositional Connective
    10.5 Definition and Properties of Universal Average Propositional Connective
    10.6 Definition and Properties of Universal Combination Propositional Connective
    Chapter 11 Propositional Universal Logics System
    11.1 Basic Concepts of Propositional Universal Logics
    11.2 Generation Rules of Universal Propositional Connective Operation Models
    11.3 Operation Models of Universal Logics Propositional Connectives
    11.4 Common Formulas in Propositional Universal Logics
    11.5 Deductive Reasoning Rules of Propositional Universal Logics
    Chapter 12 Application and Implementation of Propositional Universal Logics
    12.1 Generation of Two-valued Base Propositional Logic
    12.2 Research on Three-valued Base Propositional Logic
    12.3 Analysis of Degree Logic
    12.4 Research on Continuous Base Propositional Logic
    12.5 Physical Implementation of Universal Logics Operations
    Appendix
    A. N-generator Integrity Hyper-cluster
    A.1 N-generators of Different N-Norms
    A.2 N-generators and Error Distribution Functions
    A.3 Conclusion
    B. Strict Monotone Distribution of Operators in Integrity Cluster
    B.1 Operators’ Distribution in 0-level Universal AND Integrity Cluster
    B.2 Operators’ Distribution in 0-level Universal OR Integrity Cluster
    B.3 Operators’ Distribution in 0-level Universal Implication Integrity Cluster
    B.4 Operators’ Distribution in 0-level Universal Equivalence Integrity Cluster
    B.5 Operators’ Distribution in 0-level Universal Average Integrity Cluster
    B.6 Operators’ Distribution in 0-level Universal Combination Integrity Cluster
    C. Limited Rationality of I-Universal Implication and S-Universal Implication
    C.1 I-Universal Implication Operation Ii(x,y,h)
    C.2 I-Universal Serial Reasoning Operation Ri(x,y,h)
    C.3 S-Universal Implication Operation Is(x,y,h)
    C.4 S-Universal Serial Reasoning Operation Rs(x,y,h)
    D. Congeneric Models of Universal Equivalence Propositional Connective
    E. Universal Weak Combination Propositional Connective
    References
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