Derivation of intuitionistic fuzzy weights based on intuitionistic fuzzy preference relations

被引：147

作者：

Wang, Zhou-Jing ^{[1
,2
]}

机构：

[1] Shanghai Univ, Sch Management, Shanghai 200444, Peoples R China

[2] Zhejiang Univ Finance & Econ, Sch Informat, Hangzhou 310018, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Intuitionistic fuzzy preference relation; Additive consistency; Weak transitivity; Intuitionistic fuzzy weight; Linear goal programming; GROUP DECISION-MAKING; GEOMETRIC AGGREGATION OPERATORS; GOAL PROGRAMMING METHOD; INTERVAL WEIGHTS; MODELS; PRIORITY; CONSISTENCY; AHP;

D O I：

10.1016/j.apm.2013.01.021

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper proposes linear goal programming models for deriving intuitionistic fuzzy weights from intuitionistic fuzzy preference relations. Novel definitions are put forward to define additive consistency and weak transitivity for intuitionistic fuzzy preference relations, followed by a study of their corresponding properties. For any given normalized intuitionistic fuzzy weight vector, a transformation formula is furnished to convert the weights into a consistent intuitionistic fuzzy preference relation. For any intuitionistic fuzzy preference relation, a linear goal programming model is developed to obtain its intuitionistic fuzzy weights by minimizing its deviation from the converted consistent intuitionistic fuzzy preference relation. This approach is then extended to group decision-making situations. Three numerical examples are provided to illustrate the validity and applicability of the proposed models. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：6377 / 6388

页数：12

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