An approach to group decision-making with uncertain preference ordinals

被引：43

作者：

Fan, Zhi-Ping ^{[1
]}

Yue, Qi ^{[1
]}

Feng, Bo ^{[1
,2
]}

Liu, Yang ^{[1
]}

机构：

[1] Northeastern Univ, Sch Business Adm, Dept Management Sci & Engn, Shenyang 110004, Peoples R China

[2] S China Univ Technol, Sch Business Adm, Dept Decis Sci, Guangzhou 510641, Guangdong, Peoples R China

来源：

COMPUTERS & INDUSTRIAL ENGINEERING | 2010年 / 58卷 / 01期

关键词：

Group decision-making (GDM); Uncertain preference ordinal; Collective probability matrix; Optimization model; Alternative-ranking; AGGREGATION; OPTIMIZATION; OPERATORS; RANKING; MODELS;

D O I：

10.1016/j.cie.2009.08.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The aim of this paper is to develop an approach to solving group decision-making problems, where the preference information on alternatives provided by experts is in the form of uncertain preference ordinals. In this paper, firstly, we give several definitions on uncertain preference ordinal, Then, to process uncertain preference ordinals, a decision matrix in the form of probabilities is constructed. Based on the decision matrix, a collective probability matrix on alternatives with regard to ranking positions is constructed. Furthermore, an optimization model is built based on the collective probability matrix, and the ranking of alternatives can be obtained by solving the model. Finally, two examples are used to illustrate the use of the proposed approach. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：51 / 57

页数：7

共 26 条

[11] Transitive approximation to pairwise comparison matrices by using interval goal programming [J].

González-Pachón, J ;

Rodríguez-Galiano, MI ;

Romero, C .

JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2003, 54 (05) :532-538

[12] Aggregation of partial ordinal rankings:: an interval goal programming approach [J].

González-Pachón, J ;

Romero, C .

COMPUTERS & OPERATIONS RESEARCH, 2001, 28 (08) :827-834

[13] Multiperson decision-making based on multiplicative preference relations [J].

Herrera, F ;

Herrera-Viedma, E ;

Chiclana, F .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2001, 129 (02) :372-385

[14] Choice processes for non-homogeneous group decision making in linguistic setting [J].

Herrera, F ;

Herrera-Viedma, E ;

Verdegay, JL .

FUZZY SETS AND SYSTEMS, 1998, 94 (03) :287-308

[15]

Hwang C.-L., 1987, GROUP DECISION MAKIN

[16] A method for group decision making with multi-granularity linguistic assessment information [J].

Jiang, Yan-Ping ;

Fan, Zhi-Ping ;

Ma, Jian .

INFORMATION SCIENCES, 2008, 178 (04) :1098-1109

[17] Fuzzy multi-criteria evaluation of industrial robotic systems [J].

Kahraman, Cengiz ;

Cevik, Sezi ;

Ates, Nufer Yasin ;

Gulbay, Murat .

COMPUTERS & INDUSTRIAL ENGINEERING, 2007, 52 (04) :414-433

[18] The Hungarian Method for the assignment problem [J].

Kuhn, HW .

NAVAL RESEARCH LOGISTICS, 2005, 52 (01) :7-21

[19] An optimization approach to multiperson decision making based on different formats of preference information [J].

Ma, Jian ;

Fan, Zhi-Ping ;

Jiang, Yan-Ping ;

Mao, Ji-Ye .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 2006, 36 (05) :876-889

[20] Modeling the concept of majority opinion in group decision making [J].

Pasi, G ;

Yager, RR .

INFORMATION SCIENCES, 2006, 176 (04) :390-414

← 1 2 3 →