Similarity measure between generalized intuitionistic fuzzy sets and its application to group decision making

Abstract

본 논문에서는 일반화된 직관적 퍼지집합(GIFSs)의 기하적인 표현을 바탕으로 한, GIFSs 사이의 닮음을 계산하는 방법을 제안하고, 전문가 그룹에서 동의의 정도를 해석하는데 그것을 사용한다. 여기서 제안된 닮음 측도는 비교되어지는 대상의 거리와 그 대상의 여집합과의 거리인 두 거리의 차이로써 정의된다.

We applyed a similarity measure to assess an extent of agreement in a group of experts giving their options expressed by generalized intuitionistic fuzzy preference relations. Based on the geometrical interpretation of GIFSs, we took into account three parameters (membership, non-membership, hesitation margin) to propose a similarity measure for calculating the degree of similarity between GIFSs. It can be achieved by comparing distances both to an interesting preferences and its complement. We used the similarity measure to analyze the extent of agreement in a group of experts.