¹Key Laboratory of Digital Agricultural Early-warning Technology, Ministry of Agriculture of China, Beijing, China
²Hangzhou Key Lab of E-Business and Information Security, Hangzhou Normal University, Zhejiang, China
³School of Electronics & Information Technology, Shanghai Jiao Tong University, Shanghai, China
⁴School of Electronics & Information Technology, Northwestern Polytechnical University, Xi’an, 710072, China
⁵Grain Economics Institute Nanjing University of Finance and Economics, Nanjing, China
⁶College of computer and information sciences, Southwest University, Chongqing, 400715, China

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Abstract—Risk analysis plays an important role in many application systems. The current researches prefer to use fuzzy set theory for risk analysis. In this paper, we present a new fuzzy risk analysis method based on generalized fuzzy numbers. Firstly, we define new arithmetic operations between generalized fuzzy numbers. Then, we propose a new method to measure the degree of similarity between generalized fuzzy numbers. Finally, we apply the new arithmetic operations between generalized fuzzy numbers and proposed similarity measure to develop a new method to deal with fuzzy risk analysis problems. The greatest advantage of the new method is that it has less computational complexity. When dealing with the risk analysis problems, the predominance of new method has been showed: easier and more useful.

Index Terms—risk analysis, generalized fuzzy numbers, fuzzy arithmetic, similarity measures

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Cite: Xiaoyan Su, Wen Jiang, Jianling Xu, Peida Xu, Yong Deng, "A New Fuzzy Risk Analysis Method based on Generalized Fuzzy Numbers," Journal of Software vol. 6, no. 9, pp. 1755-1762, 2011.