Offering a New Approach for Determination of Fuzzy Numbers Similarity by Using TOPSIS Method and its Application in Fuzzy Risk Analysis

Caused by fuzzy risk analysis importance and fuzzy numbers’ similarity usage in this field, generating an appropriate method for finding the most similar fuzzy number by desired fuzzy number is obtained a significant importance. For receiving this goal, different approaches are made for determination of fuzzy similarity amount. In this paper, first a new similarity method between generalized trapezoidal fuzzy numbers is presented. It can combine some of these different approaches for selection the most similar fuzzy number. After that this new method is utilized for completion a new fuzzy risk analysis algorithm.