期刊
APPLIED MATHEMATICAL MODELLING
卷 38, 期 21-22, 页码 5256-5268出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2014.04.022
关键词
Multiple criteria group decision making (MCGDM); 2-Tuple linguistic; Incomplete linguistic criteria weight; Weights of decision makers
资金
- Program for New Century Excellent Talents in University [NCET-13-0037]
- Natural Science Foundation of China [70972007, 71271049]
- Beijing Municipal Natural Science Foundation [9102015, 9133020]
A new method is proposed to solve multiple criteria group decision making (MCGDM) problems, in which both the criteria values and criteria weights take the form of linguistic information, and the information about linguistic criteria weights is partly known or completely unknown. Firstly, to get reasonable decision result, instead of assigning the same weight to the decision maker (DM) for all criteria, we propose a method to determine the weight of DM with respect to each criterion under linguistic environment by calculating the similarity degree between individual 2-tuple linguistic evaluation value and the mean given by all decision makers (DMs). Secondly, for the situations where the information about the criteria weights is partly known or completely unknown, we establish optimization models to determine the criteria weights by defining 2-tuple linguistic positive ideal solution (TL-PIS), 2-tuple linguistic right negative ideal solution (TL-RNIS) and 2-tuple linguistic left negative ideal solution (TL-LNIS) of the collective 2-tuple linguistic decision matrix. Thirdly, we propose a new method to solve MCGDM problems with partly known or completely unknown linguistic weight information. Finally, an illustrative example is given to demonstrate the calculation process of the proposed method. (C) 2014 Elsevier Inc. All rights reserved.
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