Fuzzy Sets, Logics and Reasoning about Knowledge (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
425
Utgivningsdatum
1999-09-01
Upplaga
2000 ed.
Förlag
Springer
Medarbetare
Dubois, Didier (ed.), Prade, Henri (ed.), Klement, E. P (ed.)
Illustrationer
IX, 425 p.
Dimensioner
234 x 156 x 25 mm
Vikt
790 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9780792359777

Fuzzy Sets, Logics and Reasoning about Knowledge

av Didier Dubois, Henri Prade, Erich Peter Klement
Inbunden,  Engelska, 1999-09-01
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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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Didier Dubois, Henri Prade, Erich Peter Klement

Innehållsförteckning

Introduction: Bridging the Gap between Multiple-valued Logics, Fuzzy Logic, Uncertain Reasoning and Reasoning about Knowledge.- I: Advances in Mutiple-valued Logics.- The Poincar 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 Measuresfurther 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 Kleenes 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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