A method for group decision-making based on multi-granularity uncertain linguistic information

被引:119
作者
Fan, Zhi-Ping [1 ]
Liu, Yang [1 ]
机构
[1] Northeastern Univ, Sch Business Adm, Dept Management Sci & Engn, Shenyang 110004, Peoples R China
基金
美国国家科学基金会; 中国国家自然科学基金;
关键词
Group decision-making (GDM); Uncertain linguistic information; Multi-granularity; Fuzzy number; TOPSIS; Ranking; FUZZY ENVIRONMENT; SETS; TOPSIS; OPERATORS; LOCATION; FUSION;
D O I
10.1016/j.eswa.2009.11.016
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The multi-granularity uncertain linguistic term is a form of uncertain preference information in group decision-making (GDM), while it is seldom discussed in the existing research. In this paper, a method is proposed to solve the GDM problem with multi-granularity uncertain linguistic information. Firstly, to process multi-granularity uncertain linguistic information, a formula for transforming multi-granularity uncertain linguistic terms into trapezoidal fuzzy numbers is given based on the theoretical analysis. Thus, the GDM problem with multi-granularity uncertain linguistic information is changed into the one with fuzzy numbers. Then, to solve the GDM problem, an appropriate extension of the classical TOPSIS is conducted. Fuzzy positive-ideal solution (FPIS) and fuzzy negative-ideal solution (FNIS) are defined, respectively. The closeness coefficient is obtained to determine the ranking order of all alternatives by calculating the distances to both FPIS and FNIS, simultaneously. Finally, a numerical example is given to illustrate the use of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4000 / 4008
页数:9
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