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

Journal of Intelligent & Fuzzy SystemsPublished 1 January 2013
Emrah Akyar, Handan Akyar, Serkan Ali Düzce
Citations19
SJR quartileQ2
SJR score0.36
SNIP0.62

TL;DR

A new method for ranking generalized trapezoidal fuzzy numbers based on the incenter and inradius of a triangle is presented, which can also rank crisp numbers and fuzzy numbers with the same centroid point.

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

Decision SciencesMathematicsEngineering