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A Fuzzy Modal Logic for Similarity Reasoning

  • Lluís Godo
  • Ricardo O. Rodríguez
Chapter
Part of the The International Series on Asian Studies in Computer and Information Science book series (ASIS, volume 6)

Abstract

In this paper we are concerned with the formalization of a similarity-based type of reasoning dealing with expressions of the form approximately ϕ, where ϕis a fuzzy proposition. From a technical point of view we need a fuzzy logic as base logic to deal with the fuzziness of propositions and also we need a modality to account for the notion of approximation or closeness. Therefore we propose a modal fuzzy logic with semantics based on Kripke structures where the accessibility relations are fuzzy similarity relations measuring how similar are the possible worlds.

Keywords

Similarity-based reasoning fuzzy logic modal logic 

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Lluís Godo
    • 1
  • Ricardo O. Rodríguez
    • 2
  1. 1.Campus Univ. Autònoma BarcelonaInstitut d’lnvestigació en Intel.ligència Artificial (IIIA) — CSICSpain
  2. 2.Dpto. de Computación Fac. Ciencias Exactas y NaturalesUniversidad de Buenos Aires Ciudad de Buenos AiresArgentina

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