Fuzzy risk analysis based on the similarity measure of generalized trapezoidal fuzzy numbers

In this paper, we propose a new similarity measure between generalized trapezoidal fuzzy numbers (GTFN), which can ensure the effectiveness of similarity measure, reduce the complexity of computation, and improve its distinguish ability and application scope. Meanwhile, we introduce two indexes to evaluate the performance of different similarity measures, and use numerical examples to compare our proposed similarity measure with some existing similarity measures. Finally, we apply our proposed similarity measure in fuzzy risk analysis, and the results show that our proposed similarity measure is reasonable and effective.