Contrast Similarity Measures of Fuzzy Sets

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.

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Bibliographic Details
Main Authors: Batyrshin,Ildar, Kosheleva,Olga, Kreinovich,Vladik, Kubysheva,Nailya, Akhtiamov,Raouf
Format: Digital revista
Language:English
Published: Instituto Politécnico Nacional, Centro de Investigación en Computación 2019
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1405-55462019000401569
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