Analyzing fuzzy risk based on a new similarity measure between interval-valued fuzzy numbers

In this paper, we present a new similarity measure between interval-valued fuzzy numbers. It combines the concepts of geometric distance, the perimeters and the spreads of differences between interval-valued fuzzy numbers on both the X-axis and the Y-axis. The proposed method can overcome the drawbacks of the existing similarity measures. Finally, based on the proposed similarity measure between interval-valued fuzzy numbers, we present a new fuzzy risk analysis algorithm for dealing with fuzzy risk analysis problems. The proposed method provides us with a useful way for handling the fuzzy risk analysis problems.