Deriving interval weights from an interval multiplicative consistent fuzzy preference relation

被引：36

作者：

Lan, Jibin ^{[1
]}

Hu, Mingming ^{[1
]}

Ye, Xinmiao ^{[1
]}

Sun, Shiquan ^{[2
]}

机构：

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

[2] Xidian Univ, Coll Math, Xian 710071, Shaanxi, Peoples R China

来源：

KNOWLEDGE-BASED SYSTEMS | 2012年 / 26卷

基金：

中国国家自然科学基金;

关键词：

Interval fuzzy preference relation; Additive consistent; Multiplicative consistent; Interval weights; Algorithm; ATTRIBUTE DECISION-MAKING; GOAL PROGRAMMING APPROACH; PRIORITY WEIGHTS; MODELS; VECTORS;

D O I：

10.1016/j.knosys.2011.07.014

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, relations between a multiplicative consistent interval fuzzy preference relation and an additive consistent interval fuzzy preference relation are established. Based on the new relations, a new method (Algorithm 3) is proposed to derive interval weights by transforming a multiplicative consistent interval fuzzy preference relation into an additive consistent interval fuzzy preference relation, collecting additive consistent information (Algorithm 2), transforming back into multiplicative consistent information and calculating the interval weights by Eq. (20). Finally, two numerical examples are given to illustrate the new method. (C) 2011 Elsevier B.V. All rights reserved.2011 Elsevier B.V. All rights reserved.

引用

页码：128 / 134

页数：7

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