Trial risk analysis based on a novel similarity measure on generalized fuzzy numbers

Abstract

Similarity measure of fuzzy numbers is an important topic in fuzzy set theory, and it is also an effective tool for risk analysis. In this paper, we present a new similarity measure between generalized fuzzy numbers(GFNs). It combines the concepts of geometric distance, the height and the radius of gyration(ROG) of generalized fuzzy numbers for calculating the degree of similarity between generalized fuzzy numbers. We also prove some properties of the proposed similarity measure. The proposed method can overcome the drawbacks of the existing similarity measures, moreover it provides a useful way to deal with fuzzy risk analysis problems. At the same time, we apply our method into trial risk analysis and establish a risk analysis model for judicial business.