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Fuzzy risk analysis based on a geometric ranking method for generalized trapezoidal fuzzy numbers. (English) Zbl 1295.91025

Summary: We present a new method for ranking generalized trapezoidal fuzzy numbers based on the incenter and inradius of a triangle. The proposed method is simple and easy to apply to real life problems. The method can also rank crisp numbers and fuzzy numbers with the same centroid point. Some comparative examples are also given to illustrate the advantages of the proposed method. Based on the proposed ranking method, we also give an application to the fuzzy risk analysis problem.

MSC:

91B06 Decision theory
91B99 Mathematical economics
62F07 Statistical ranking and selection procedures
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