Ranking L-R fuzzy number based on deviation degree

被引：120

作者：

Wang, Zhong-Xing ^{[1
]}

Liu, Yong-Jun ^{[1
]}

Fan, Zhi-Ping ^{[2
]}

Feng, Bo ^{[2
]}

机构：

[1] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China

[2] Northeastern Univ, Sch Business Adm, Dept Management Sci & Engn, Shenyang 110004, Peoples R China

来源：

INFORMATION SCIENCES | 2009年 / 179卷 / 13期

基金：

美国国家科学基金会;

关键词：

Fuzzy number; L-R type; Ranking; Deviation degree; Centroid; AREA;

D O I：

10.1016/j.ins.2008.08.017

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper proposed a novel approach to ranking fuzzy numbers based on the left and right deviation degree (L-R deviation degree). In the approach, the maximal and minimal reference sets are defined to measure L-R deviation degree of fuzzy number, and then the transfer coefficient is defined to measure the relative variation of L-R deviation degree of fuzzy number. Furthermore, the ranking index value is obtained based on the L-R deviation degree and relative variation of fuzzy numbers. Additionally, to compare the proposed approach with the existing approaches, five numerical examples are used. The comparative results illustrate that the approach proposed in this paper is simpler and better. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2070 / 2077

页数：8

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