Description
Book Synopsis
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.
Table of Contents
Editorial Preface; D.M. Gabby. Introduction. Part I: Advances in Multiple-valued Logics. The Poincaré Paradox and Non-classical Logics; U. Höhle. Propositional Fuzzy Logics based on Frank t-norms: A comparison; E.P. Klement, M. Navara. A Resolution-based Axiomatisation of `Bold' Propositional Fuzzy Logic; S. Lehmke. How to Make Your Logic Fuzzy: Fibred Semantics and The Weaving of Logics; D.M. Gabbay. Introducing Grade to Some Metalogical Notions; M.K. Chakraborty, S. Basu. Closure Operators, Fuzzy Logic and Constraints; G. Gerla. Part II: Algebraic Aspects of Multiple-valued Logics. Ulam Game, the Logic of MaxSat, and Many-valued Partitions; D. Mundici. A Many-valued Generalisation of the Ultrapower Construction; C.A. Drossos. Gabriel Filters and the Spectrum of an MV-Algebra; P. Karazeris. Conditional States in Finite-valued Logics; A. Di Nola, et al. Conditioning on MV-algebras and Additive Measures - further results; S. Weber. Part III: Advances in Approximate Reasoning. Toward Adequacy Conditions for Inference Schemata in Approximate Reasoning: The Case of the Rule of Syllogism; S. Gottwald. Formal Theories in Fuzzy Logic; V. Novák. A Note on Fuzzy Inference as Deduction; L. Godo, P. Hájek. The Role of Similarity in Fuzzy Reasoning; F. Klawonn. T-indistinguishability Operators and Approximate Reasoning via CRI; D. Boixader, J. Jacas. About Similarity-based Logical Systems; F. Esteva, et al. On Similarity-based Fuzzy Clusterings; H. Thiele. Part IV: Reasoning about Information and Knowledge. Informational Representability: Abstract Models versus Concrete Models; S. Demri, E. Orlowska. From Possibilistic Information toKleene's Strong Multi-valued Logics; G. De Cooman. A Roadmap of Qualitative Independence; D. Dubois, et al. Truth Functionality and Measure-based Logics; L. Boldrin, C. Sossai. Logic Programs with Context-dependent Preferences; G. Brewka. An Overview of Inconsistency-tolerant Inferences in Prioritized Knowledge Bases; S. Benferhat, et al. Index.
