A NEW APPROACH OF FUZZY NUMBERS WITH DIFFERENT SHAPES AND DEVIATION

Subject Areas : Numerical Analysis

A.  Ghanizadeh ¹ (Department of Statistics, Islamic Azad University of Kermanshah Branch, Kermanshah, Iran)
N.  Parandin ² (Department of Mathematics, Islamic Azad University of Kermanshah Branch, Kermanshah, Iran)

Received: 2014-01-20 Accepted : 2014-05-20 Published : 2014-07-01

Keywords: fuzzy number, convex combination, standard deviation,

Abstract :

In this paper, we propose a new method for fuzzy numbers. In this method, we assume that Ai= (ai1, ai2, ai3, ai4) is to be a fuzzy number. So, the convex combination of ai1 and ai2 and also the convex combination of ai3 and ai4 are obtained separately. Then, Mic and Mis that are to be the convex combinations and the standard deviation respectively we acquire them from these components. Finally, we can obtain ranking index (Mi) that is the convex combination of, Mic and Mis. At the end of paper, in one example, the proposed method is compared with other methods.

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