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

Authors:
Emrah Akyar;Handan Akyar;Serkan Ali Düzce
Affiliations:
Science Faculty, Department of Mathematics, Anadolu University, Eskişehir, Turkey;Science Faculty, Department of Mathematics, Anadolu University, Eskişehir, Turkey;Science Faculty, Department of Mathematics, Anadolu University, Eskişehir, Turkey
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2013

Citing 21
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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.