Ranking Fuzzy Numbers based on Sokal and Sneath Index with Hurwicz Criterion

Ranking of fuzzy numbers is an important procedure for many applications in fuzzy theory, in particular, decision-making. In this paper, we propose a novel method for ranking fuzzy numbers using Sokal and Sneath set theoretic index. The fuzzy maximum, fuzzy minimum, fuzzy evidences and fuzzy total evidences are obtained in determining the ranking. The Hurwicz criterion which considers all types of decision makers' perspective is employed in aggregating the fuzzy total evidences. The rationality properties of the proposed method are presented. Moreover, five numerical examples are presented to illustrate the advantages of the proposed method. The ranking results show that the proposed method can overcome certain shortcomings that exist in the previous ranking methods.