Logical approaches to fuzzy similarity-based reasoning: an overview [chapter]

Lluís Godo, Ricardo O. Rodríguez
2008 Preferences and Similarities  
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: syntactically-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
more » ... 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.
doi:10.1007/978-3-211-85432-7_4 fatcat:477lzy6blja3jaugsfnws7ozuq