A method for fuzzy risk analysis based on the new similarity of trapezoidal fuzzy numbers

At present, some researchers provide a type of fuzzy risk analysis algorithm for dealing with fuzzy risk analysis problems, where the values of the evaluating items are represented by trapezoidal fuzzy numbers. In this method, the main operations are two: one is arithmetic operators of the trapezoidal fuzzy numbers; the other is the similarity of the trapezoidal fuzzy numbers. The proposed method provides a useful way to deal with fuzzy risk analysis problems. In this paper, we first analyze the drawbacks of the arithmetic operators of the trapezoidal fuzzy numbers and the similarity of trapezoidal fuzzy numbers. Then we propose the new arithmetic operators of trapezoidal fuzzy numbers, and provide a new improved similarity of trapezoidal fuzzy numbers. At the same time, we use an example to illustrate the new approach. The proposed method provides a useful way to deal with fuzzy risk analysis problems.