Abstract

BATYRSHIN, Ildar et al. Contrast Similarity Measures of Fuzzy Sets. Comp. y Sist. [online]. 2019, vol.23, n.4, pp.1569-1573.  Epub Aug 09, 2021. ISSN 2007-9737.  https://doi.org/10.13053/cys-23-4-3325.

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.

Keywords : Similarity measure; similarity function; fuzzy set.

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