Akyar, Emrah; Akyar, Handan; Düzce, Serkan Ali Fuzzy risk analysis based on a geometric ranking method for generalized trapezoidal fuzzy numbers. (English) Zbl 1295.91025 J. Intell. Fuzzy Syst. 25, No. 1, 209-217 (2013). 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. Cited in 2 Documents MSC: 91B06 Decision theory 91B99 Mathematical economics 62F07 Statistical ranking and selection procedures Keywords:generalized trapezoidal fuzzy numbers; ranking fuzzy numbers; fuzzy risk analysis PDFBibTeX XMLCite \textit{E. Akyar} et al., J. Intell. Fuzzy Syst. 25, No. 1, 209--217 (2013; Zbl 1295.91025) Full Text: DOI