Document Type : Research Paper

Authors

• A. Ghanizadeh ¹
• N. Parandin ²

¹ Department of Statistics, Islamic Azad University of Kermanshah Branch, Kermanshah, Iran

² Department of Mathematics, Islamic Azad University of Kermanshah Branch, Kermanshah, Iran

Abstract

In this paper, we propose a new method for fuzzy numbers. In this method, we assume that A_i= (a_i1, a_i2, a_i3, a_i4) is to be a fuzzy number. So, the convex combination of a_i1 and a_i2 and also the convex combination of a_i3 and a_i4 are obtained separately. Then, M_ic and M_is that are to be the convex combinations and the standard deviation respectively we acquire them from these components. Finally, we can obtain ranking index (M_i) that is the convex combination of, M_ic  and   M_is. At the end of paper, in one example, the proposed method is compared with other methods.

Keywords

• fuzzy number
• convex combination
• standard deviation

Main Subjects

• Numerical Analysis