An extended GRA method for MCDM with interval-valued triangular fuzzy assessments and unknown weights

被引:101
作者
Zhang, Shi-fang [1 ,3 ]
Liu, San-yang [2 ]
Zhai, Ren-he [4 ]
机构
[1] Xidian Univ, Sch Comp Sci & Technol, Xian 710071, Shaanxi, Peoples R China
[2] Xidian Univ, Dept Math, Xian 710071, Shaanxi, Peoples R China
[3] Shaanxi Univ Technol, Dept Management, Hanzhong 723000, Shaanxi, Peoples R China
[4] Shaanxi Univ Technol, Sch Mech Engn, Hanzhong 723000, Shaanxi, Peoples R China
关键词
Grey relational analysis (GRA); Multiple criteria decision making (MCDM); Interval-valued triangular fuzzy number; Weight information; GROUP DECISION-MAKING; TOPSIS; ENVIRONMENT; SELECTION;
D O I
10.1016/j.cie.2011.08.008
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Multiple criteria decision making (MCDM) is the process of ranking the feasible alternatives and selecting the best one by considering multiple criteria. Owing to the complexity, fuzziness and uncertainties of the objective things, the criterion values often take the form of linguistic variables, which can be expressed in interval-valued triangular fuzzy numbers. The purpose of this paper is to develop an extended grey relational analysis (GRA) method for solving MCDM problems with interval-valued triangular fuzzy numbers and unknown information on criterion weights. In order to determine the criterion weights, some optimization models based on the basic idea of traditional GRA method are established. Then, calculation steps of extended GRA method for MCDM are given. Finally, a numerical example is shown to verify the developed method and to demonstrate its practicality and feasibility. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1336 / 1341
页数:6
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