期刊
EXPERT SYSTEMS WITH APPLICATIONS
卷 37, 期 5, 页码 4000-4008出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2009.11.016
关键词
Group decision-making (GDM); Uncertain linguistic information; Multi-granularity; Fuzzy number; TOPSIS; Ranking
类别
资金
- National Science Foundation for Distinguished Young Scholars of China [70525002]
- National Science Foundation for Excellent Innovation Research Group of China [70721001]
- National Natural Science Foundation of China [70701008, 70871021, 90924016]
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.
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