Technical Note

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

H. Haleh*, S.M. Hosseini & H. Akbarzade Khorshidi

Hassan Hale, Assistance professor of Industrial and systems engineering, Isfahan University of Technology
Seyyed Mehran Hoseini, MSc student of Industrial engineering, Isfahan University of Technology
Hadi Akbarzade Khorshidi, MSc student of Industrial engineering, Isfahan University of Technology

Keywords ABSTRACT

Generalized trapezoidal fuzzy numbers,
Fuzzy risk analysis,
Fuzzy numbers similarity,
TOPSIS method 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

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