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1 MIA - Mathématiques, Image et Applications

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.





Author: Hoel Le Capitaine - Carl Frelicot -

Source: https://hal.archives-ouvertes.fr/



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