Fuzzy risk analysis based on a geometric ranking method for generalized trapezoidal fuzzy numbers

Article type: Research Article

Authors: Akyar, Emrah | Akyar, Handan | Düzce, Serkan Ali

Affiliations: Science Faculty, Department of Mathematics, Anadolu University, Eskişehir, Turkey

Note: [] Corresponding author. Emrah Akyar, Science Faculty, Department of Mathematics, Anadolu University, 26470 Eskişehir, Turkey. Tel.: +90 222 335 05 80; Fax: +90 222 320 49 10; E-mail: [email protected] (Emrah Akyar); [email protected] (Handan Akyar); [email protected] (Serkan Ali Düzce).

Abstract: In this study, 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.

Keywords: Generalized trapezoidal fuzzy numbers, ranking fuzzy numbers, fuzzy risk analysis

DOI: 10.3233/IFS-2012-0628

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 1, pp. 209-217, 2013