Data analysis with fuzzy measure on intuitionistic fuzzy sets

Abstract

Study of fuzzy entropy on intuitionistic fuzzy sets (IFSs) were proposed, and analyzed. Built in uncertainty in IFSs, it is named as hesitance. It is contained in fuzzy membership function in itself by definition. Hence, designing fuzzy entropy is not easy because there is no general entropy definition about IFSs. By considering existing fuzzy entropy definitions, fuzzy entropy on IFSs is designed and proved its usefulness. Similarity measure was also extended with the information of entropy, and the similarity measure is verified its usefulness by the proof.