SIMILARITY MEASURE ON CUBIC INTUITIONISTIC FUZZY SETS AND ITS RELATIONSHIP WITH ENTROPY MEASURE

SIMILARITY MEASURE ON CUBIC INTUITIONISTIC FUZZY SETS AND ITS RELATIONSHIP WITH ENTROPY MEASURE

M. Priyadharshini, D. Jayanthi, P. Gajalaxmi

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Abstract

The objective of the study is to introduce the axioms defining similarity measures on cubic intuitionistic fuzzy sets. The proposed similarity measure integrates the principles of similarity measures on interval-valued intuitionistic fuzzy sets and intuitionistic fuzzy sets. Additionally, a novel approach is presented to construct similarity measures using entropy measures specific to cubic intuitionistic fuzzy sets. The transformation of entropy measures into similarity measures is formalized through several key theorems that adhere to the established axioms. Illustrative example is provided to demonstrate and validate the proposed definitions.

Keywords

Intuitionistic fuzzy set, interval-valued intuitionistic fuzzy set, cubic intuitionistic fuzzy set, entropy measure, similarity measure.