Priorities of Intuitionistic Fuzzy Preference Relation Based on Multiplicative Consistency

被引：163

作者：

Liao, Huchang ^{[1
]}

Xu, Zeshui ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Antai Coll Econ & Management, Shanghai 200052, Peoples R China

[2] Sichuan Univ, Sch Business, Chengdu 610064, Peoples R China

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2014年 / 22卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Intuitionistic fuzzy set; intuitionistic fuzzy preference relation (IFPR); intuitionistic fuzzy priority weights; multiplicative consistency; multicriteria decision making (MCDM); DECISION-MAKING; RANKING; WEIGHTS; INFORMATION; INTERVALS; VALUES; VECTOR;

D O I：

10.1109/TFUZZ.2014.2302495

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The intuitionistic fuzzy preference relation (IFPR), whose elements are intuitionistic fuzzy values (IFVs), is more powerful than the traditional multiplicative preference relation and the fuzzy preference relation in expressing comprehensive preference information of a decision maker. The aim of this paper is to investigate a new approach to derive the priority weights from an IFPR. To do so, we give a new definition of multiplicative consistent IFPR, which is based on the membership and nonmembership degrees of the intuitionistic fuzzy judgments. After that, a formula, which involves the underlying intuitionistic fuzzy weights of the IFPR, is proposed to construct such a multiplicative consistent IFPR. Based on the formula, some fractional programming models are built to generate the intuitionistic fuzzy priority weighting vector of the IFPR. Several numerical examples are given to illustrate the validity and applicability of the proposed method.

引用

页码：1669 / 1681

页数：13

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