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Conference Papers Year : 2009

Towards a unified logical framework of fuzzy implications to compare fuzzy sets

Abstract

In fuzzy set theory, comparison of fuzzy sets plays an important role. Among the several ways to compare fuzzy sets, we address the logical theoretic approach using fuzzy implications. We propose a general framework allowing to generate many measures of comparison: inclusion, similarity and distance, and study their properties. Since the literature on the use fuzzy implications for defining such measures is abundant, we also attempt to relate this work to existing research.
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Dates and versions

hal-00441429 , version 1 (16-12-2009)

Identifiers

  • HAL Id : hal-00441429 , version 1

Cite

Hoel Le Capitaine, Carl Frelicot. Towards a unified logical framework of fuzzy implications to compare fuzzy sets. International Fuzzy Systems Association World Congress and European Society for Fuzzy Logic and Technologies Conference, 2009, Lisbonne, Portugal. pp.1200--1205. ⟨hal-00441429⟩
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