Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance

A method to calculate the distance between IFSs on the basis of the Hausdorff distance is presented and this distance is used to generate a new similarity measure that is well suited to use with linguistic variables.

Abstract

This paper presents a new method for similarity measures between intuitionistic fuzzy sets (IFSs). We will present a method to calculate the distance between IFSs on the basis of the Hausdorff distance. We will then use this distance to generate a new similarity measure to calculate the degree of similarity between IFSs. Finally we will prove some properties of the proposed similarity measure and use several examples to compare the proposed similarity measure with existing methods. Numerical results show that the proposed similarity measure is much simpler than existing methods and is well suited to use with linguistic variables.