Fuzzy Risk Analysis Based on Ochiai Ranking Index with Hurwicz Criterion for Generalized Trapezoidal Fuzzy Numbers

In this paper, we present a new method for ranking generalized trapezoidal fuzzy numbers (GTrFNs) based on Ochiai index and Hurwicz criterion. The proposed ranking method considers all types of decision makers’ perspective such as optimistic, neutral and pessimistic which is crucial in solving decision-making problems. The proposed method can discriminate the ranking result of GTrFNs having the same mode and symmetric spread. Two observations obtained from the proposed method are presented. Some numerical examples are also presented to illustrate the advantageous of the proposed method. Based on the proposed fuzzy ranking method, a fuzzy risk analysis (FRA) algorithm is presented to deal with FRA problems. The proposed method provides a useful way with strong discrimination ability in handling FRA problems. Mathematics Subject Classification: 90C70