Ranking fuzzy numbers using Dice 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 new method for ranking fuzzy numbers based on Dice set theoretic index. The Hurwicz criterion which considers all types of decision makers' perspective is employed in aggregating the fuzzy total evidences. The properties of the proposed method are also presented. 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.