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" Fuzzy Sets, Logics and Reasoning about Knowledge "
edited by Didier Dubois, Henri Prade, Erich Peter Klement.
Document Type
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BL
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Record Number
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579188
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Doc. No
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b408407
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Main Entry
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Dubois, Didier.
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Title & Author
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Fuzzy Sets, Logics and Reasoning about Knowledge\ edited by Didier Dubois, Henri Prade, Erich Peter Klement.
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Publication Statement
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Dordrecht :: Springer Netherlands :: Imprint: Springer,, 1999.
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Series Statement
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Applied Logic Series,; 15
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ISBN
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9789401716529
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: 9789048153244
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Contents
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Introduction: Bridging the Gap between Multiple-valued Logics, Fuzzy Logic, Uncertain Reasoning and Reasoning about Knowledge -- I: Advances in Mutiple-valued Logics -- The Poincaré Paradox and Non-classical Logics -- Propositional Fuzzy Logics based on Frank t-norms: A comparison -- A Resolution-based Axiomatisation of 'Bold' Propositional Fuzzy Logic -- How to Make Your Logic Fuzzy: Fibred Semantics and The Weaving of Logics -- Introducing Grade to Some Metalogical Notions -- Closure Operators, Fuzzy Logic and Constraints -- II: Algebraic Aspects of Multiple-valued Logics -- Ulam Game, the Logic of MaxSat, and Many-valued Partitions -- A Many-valued Generalisation of the Ultrapower Construction -- Gabriel Filters and the Spectrum of an MV-Algebra -- Conditional States in Finite-valued Logics -- Conditioning on MV-algebras and Additive Measures-further results -- III: Advances in Approximate Reasoning -- Toward Adequacy Conditions for Inference Schemata in Approximate Reasoning: The Case of the Rule of Syllogism -- Formal Theories in Fuzzy Logic -- A Note on Fuzzy Inference as Deduction -- The Role of Similarity in Fuzzy Reasoning -- T-indistinguishability Operators and Approximate Reasoning via CRI -- About Similarity-based Logical Systems -- On Similarity-based Fuzzy Clusterings -- IV: Reasoning about Information and Knowledge -- Informational Representability: Abstract Models versus Concrete Models -- From Possibilistic Information to Kleene's Strong Multi-valued Logics -- A Roadmap of Qualitative Independence -- Truth Functionality and Measure-based Logics -- Logic Programs with Context-dependent Preferences -- An Overview of Inconsistency-tolerant Inferences in Prioritized Knowledge Bases.
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Abstract
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Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning. It takes a state-of-the-art look at multiple-valued and fuzzy set-based logics, in an artificial intelligence perspective. The papers, all of which are written by leading contributors in their respective fields, are grouped into four sections. The first section presents a panorama of many-valued logics in connection with fuzzy sets. The second explores algebraic foundations, with an emphasis on MV algebras. The third is devoted to approximate reasoning methods and similarity-based reasoning. The fourth explores connections between fuzzy knowledge representation, especially possibilistic logic and prioritized knowledge bases. Readership: Scholars and graduate students in logic, algebra, knowledge representation, and formal aspects of artificial intelligence.
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Subject
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Philosophy (General).
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Subject
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Logic.
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Subject
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Artificial intelligence.
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Subject
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Algebra.
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Subject
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Logic, Symbolic and mathematical.
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Added Entry
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Prade, Henri.
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Klement, E. P., (Erich Peter)
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Added Entry
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SpringerLink (Online service)
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