Ranking fuzzy numbers by distance minimization

被引：185

作者：

Asady, B. ^{[1
]}

Zendehnam, A.

机构：

[1] Islamic Azad Univ, Dept Math, Arak, Iran

[2] Arak Univ, Dept Phys, Arak, Iran

来源：

APPLIED MATHEMATICAL MODELLING | 2007年 / 31卷 / 11期

关键词：

defuzzification; fuzzy number; ranking; distance minimization;

D O I：

10.1016/j.apm.2006.10.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we proposed a defuzzification using minimizer of the distance between the two fuzzy numbers. Then, we obtain the nearest point with respect to a fuzzy numbers and by considering the nearest point, we can present a ranking method for the fuzzy numbers. Also we give two new properties for ordering. Theorems and remarks are proposed for existence and uniqueness of the nearest point. The method is illustrated by numerical examples and compared with other methods. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：2589 / 2598

页数：10

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