Overview

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.

Full Product Details

Author:   Didier Dubois ,  Henri Prade ,  Erich Peter Klement
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2000
Volume:   15
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   0.670kg
ISBN:  

9789048153244

ISBN 10:   9048153247
Pages:   425
Publication Date:   09 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

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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