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Published in:
2008 | OriginalPaper | Chapter
Logical approaches to fuzzy similarity-based reasoning: an overview
Authors : Lluís Godo, Ricardo O. Rodríguez
Published in: Preferences and Similarities
Publisher: Springer Vienna
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The aim of this paper is to survey a class of logical formalizations of similarity-based reasoning models where similarity is understood as a graded notion of truthlikeness. We basically identify two different kinds of logical approaches that have been used to formalize fuzzy similarity reasoning: syntacticelly-oriented approaches based on a notion of approximate proof, and semantically-oriented approaches based on several notions of approximate entailments. In particular, for these approximate entailments we provide four different formalisations in terms of suitable systems of modal and conditional logics, including for each class a system of graded operators with classical semantics, as well as a system with many-valued operators. Finally, we also explore some nonmonotonic issues of similarity-based reasoning.