A new centroid method of ranking for intuitionistic fuzzy numbers

Abstract

In this paper, we proposed a new ranking method for intuitionistic fuzzy numbers (IFNs) by using centroid and circumcenter of membership function and non-membership function of the intuitionistic fuzzy number. The method utilizes the midpoint of the circumcenter of membership and non-membership function of intuitionistic fuzzy number to define the ranking function for IFN satisfying the general axioms of ranking functions. The developed method has been illustrated by some examples and is compared with some existing ranking method to show its suitability.