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A Logic for Reasoning about Relative Similarity

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Abstract

A similarity relation is a reflexive and symmetric binary relation between objects. Similarity is relative: it depends on the set of properties of objects used in determining their similarity or dissimilarity. A multi-modal logical language for reasoning about relative similarities is presented. The modalities correspond semantically to the upper and lower approximations of a set of objects by similarity relations corresponding to all subsets of a given set of properties of objects. A complete deduction system for the language is presented.

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Authors and Affiliations

  1. Institute of Computer Science, Polish Academy of Sciences, Ordona 21, 01-237, Warsaw, Poland

    Beata Konikowska

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  1. Beata Konikowska
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Konikowska, B. A Logic for Reasoning about Relative Similarity. Studia Logica 58, 185–226 (1997). https://doi.org/10.1023/A:1004952317628

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  • DOI: https://doi.org/10.1023/A:1004952317628

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