Area ranking of fuzzy numbers based on positive and negative ideal points

被引：103

作者：

Wang, Ying-Ming ^{[1
]}

Luo, Ying ^{[2
]}

机构：

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

[2] Xiamen Univ, Sch Management, Xiamen 361005, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Fuzzy numbers; Area ranking; Maximizing set; Minimizing set; Risk attitude; Defuzzification; MATHEMATICAL-PROGRAMMING APPROACH; DECISION-MAKING; MINIMIZING SET; MAXIMIZING SET; REASONABLE PROPERTIES; SOFTWARE-DEVELOPMENT; AGGREGATIVE RISK; INTEGRAL VALUE; DISTANCE; ALTERNATIVES;

D O I：

10.1016/j.camwa.2009.07.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

The maximizing set and minimizing set method is a popular ranking approach for fuzzy numbers, which ranks them based on their left, right and total utilities. This paper presents an alternative ranking approach for fuzzy numbers called area ranking based on positive and negative ideal points, which defines two new alternative indices for the purpose of ranking. The two new indices are defined in terms of a decision maker (DM)'s attitude towards risks and the left and the right areas between fuzzy numbers and the two ideal points. It is shown that the area ranking approach has strong discrimination power and can rank fuzzy numbers that are unable to be discriminated by the maximizing set and minimizing set method. It is also shown that the DM's attitude towards risks may have a significant impact on the ranking of fuzzy numbers. As a side product a new defuzzification, formula is also developed and discussed. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1769 / 1779

页数：11

共 41 条

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Ranking of fuzzy numbers by sign distance [J].