On the centroids of fuzzy numbers

被引：263

作者：

Wang, YM

Yang, JB

Xu, DL

Chin, KS

机构：

[1] Univ Manchester, Manchester Business Sch, Manchester M60 1QD, Lancs, England

[2] Fuzhou Univ, Sch Publ Adm, Fujian 350002, Peoples R China

[3] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Kowloon, Hong Kong, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2006年 / 157卷 / 07期

基金：

中国国家自然科学基金;

关键词：

normal fuzzy numbers; non-normal fuzzy numbers; centroid; ranking;

D O I：

10.1016/j.fss.2005.11.006

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In a paper by Cheng [A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Systems 95 (1998) 307-317], a centroid-based distance method was suggested for ranking fuzzy numbers, both normal and non-normal, where the fuzzy numbers are compared and ranked in terms of their Euclidean distances from their centroid points to the origin. It is found that the centroid formulae provided by the above paper are incorrect and have led to some misapplications. In this paper we present the Correct centroid formulae for fuzzy numbers and justify them from the viewpoint of analytical geometry. A numerical example demonstrates that Cheng's formulae can significantly alter the result of the ranking procedure. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：919 / 926

页数：8

共 9 条

[1]

ABBASBANDY S, IN PRESS INFORM SCI

[2] A new approach for ranking fuzzy numbers by distance method [J].