A new method for ordering triangular fuzzy numbers

Subject Areas : Operation Research

س. ح.  ناصری ¹ (Department of Mathematical Sciences, Mazandaran University, Babolsar, Iran)
S.  Mizuno ² (Department of Industrial Engineering and Management, Tokyo Institute of Technology, Tokyo, Japan)

Received: 2010-07-30 Accepted : 2010-08-30 Published : 2010-09-01

Keywords: Linear order, ranking fuzzy numbers, triangular fuzzy number,

Abstract :

Ranking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. In spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. Shortcoming are found in some of the convenient methods for ranking triangular fuzzy numbers such as the coefficient of variation (CV index), distance between fuzzy sets, centroid point and original point, and also weighted mean value. In this paper, we introduce a new method for ranking triangular fuzzy number to overcome the shortcomings of the previous techniques. Finally, we compare our method with some convenient methods for ranking fuzzy numbers to illustrate the advantage our method.

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