A consistency model for group decision making problems with interval multiplicative preference relations

被引：21

作者：

Zhang, Huimin ^{[1
]}

机构：

[1] Henan Univ Technol, Sch Management, Zhengzhou 450001, Peoples R China

来源：

APPLIED SOFT COMPUTING | 2015年 / 34卷

基金：

中国国家自然科学基金;

关键词：

Interval multiplicative preference relation; Consistency level; Logarithmic distance; Group decision makinga; LOGARITHMIC LEAST-SQUARES; ANALYTIC HIERARCHY PROCESS; CONSENSUS SUPPORT-SYSTEM; GOAL PROGRAMMING METHOD; PRIORITY WEIGHTS; COMPARISON MATRICES; ESTIMATING RATIOS; SOCIAL NETWORK; MISSING VALUES; INFORMATION;

D O I：

10.1016/j.asoc.2015.04.063

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The main aim of this paper is to present a consistency model for interval multiplicative preference relation (IMPR). To measure the consistency level for IMPR, a referenced consistent IMPR of a given IMPR is defined, which has the minimum logarithmic distance from the given IMPR. Based on the referenced consistent IMPR, the consistency level of an IMPR can be measured and an IMPR with unacceptable consistency can be adjusted by a proposed algorithm such that the revised IMPR is of acceptable consistency. A consistency model for group decision making (GDM) problems with IMPRs is proposed to obtain the collective IMPR with highest consistency level. Numerical examples are provided to illustrate the validity of the proposed approaches in decision making. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：60 / 71

页数：12

共 52 条

[1] A consistency-based procedure to estimate missing pairwise preference values [J].

Alonso, S. ;

Chiclana, F. ;

Herrera, F. ;

Herrera-Viedma, E. ;

Alcala-Fdez, J. ;

Porcel, C. .

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2008, 23 (02) :155-175

[2] A web based consensus support system for group decision making problems and incomplete preferences [J].

Alonso, S. ;

Herrera-Viedma, E. ;

Chiclana, F. ;

Herrera, F. .

INFORMATION SCIENCES, 2010, 180 (23) :4477-4495

[3] Group Decision Making with Incomplete Fuzzy Linguistic Preference Relations [J].

Alonso, S. ;

Cabrerizo, F. J. ;

Chiclana, F. ;

Herrera, F. ;

Herrera-Viedma, E. .

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2009, 24 (02) :201-222

[4]

[Anonymous], 2004, Fuzzy Optimization and Decision Making

[5] Prioritization of human capital measurement indicators using fuzzy AHP [J].

Bozbura, F. Tunc ;

Beskese, Ahmet ;

Kahraman, Cengiz .

EXPERT SYSTEMS WITH APPLICATIONS, 2007, 32 (04) :1100-1112

[6]

Cai L.C., 1996, DECISION SCI ITS APP

[7] A statistical comparative study of different similarity measures of consensus in group decision making [J].

Chiclana, F. ;

Tapia Garcia, J. M. ;

del Moral, M. J. ;

Herrera-Viedma, E. .

INFORMATION SCIENCES, 2013, 221 :110-123

[8] Cardinal Consistency of Reciprocal Preference Relations: A Characterization of Multiplicative Transitivity [J].

Chiclana, Francisco ;

Herrera-Viedma, Enrique ;

Alonso, Sergio ;

Herrera, Francisco .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (01) :14-23

[9] On consistency measures of linguistic preference relations [J].

Dong, Yucheng ;

Xu, Yinfeng ;

Li, Hongyi .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2008, 189 (02) :430-444

[10] Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations [J].

Genc, Serkan ;

Boran, Fatih Emre ;

Akay, Diyar ;

Xu, Zeshui .

INFORMATION SCIENCES, 2010, 180 (24) :4877-4891

← 1 2 3 4 5 6 →