Incomplete interval fuzzy preference relations and their applications

被引：83

作者：

Xu, Yejun ^{[1
,2
]}

Li, Kevin W. ^{[3
]}

Wang, Huimin ^{[1
,2
]}

机构：

[1] Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China

[2] Hohai Univ, Sch Business, Nanjing 211100, Jiangsu, Peoples R China

[3] Univ Windsor, Odette Sch Business, Windsor, ON N9B 3P4, Canada

来源：

COMPUTERS & INDUSTRIAL ENGINEERING | 2014年 / 67卷

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Incomplete interval fuzzy preference relation; Additive consistent; Group decision making; GROUP DECISION-MAKING; GOAL PROGRAMMING METHOD; MISSING VALUES; APPROXIMATE ARTICULATION; GENERATING WEIGHTS; PRIORITY WEIGHTS; CONSISTENCY; CONSENSUS; MODEL; SELECTION;

D O I：

10.1016/j.cie.2013.10.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper investigates incomplete interval fuzzy preference relations. A characterization, which is proposed by Herrera-Viedma et al. (2004), of the additive consistency property of the fuzzy preference relations is extended to a more general case. This property is further generalized to interval fuzzy preference relations (IFPRs) based on additive transitivity. Subsequently, we examine how to characterize IFPR. Using these new characterizations, we propose a method to construct an additive consistent IFPR from a set of n - 1 preference data and an estimation algorithm for acceptable incomplete IFPRs with more known elements. Numerical examples are provided to illustrate the effectiveness and practicality of the solution process. Crown Copyright (C) 2013 Published by Elsevier Ltd. All rights reserved.

引用

页码：93 / 103

页数：11

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