Contrast Similarity Measures of Fuzzy Sets

• Autores: Ildar Batyrshin, Olga Kosheleva, Vladik Kreinovich, Nailya Kubysheva, Raouf Akhtiamov
• Localización: Computación y Sistemas (CyS), ISSN 1405-5546, ISSN-e 2007-9737, Vol. 23, Nº. 4, 2019, págs. 1569-1573
• Idioma: inglés
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• Resumen

  • Abstract The paper proposes a new class of fuzzy set similarity measures taking into account the proximity of membership values to the border values 0 and 1. These similarity measures take values in [0,1] and generalize the crisp weak equality relation of fuzzy sets considered in the theory of fuzzy sets. We present the method constructing a contrast similarity measure using a bipolar function symmetric with respect to 0.5. As a particular case, we consider the similarity measure defined by the contrast intensification operation considered by Lotfi Zadeh.