Fuzzy Sets, Logics and Reasoning about Knowledge

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.