期刊
COMPUTERS & INDUSTRIAL ENGINEERING
卷 72, 期 -, 页码 178-186出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.cie.2014.03.019
关键词
GDM; Interval preference orderings; Weights; Possibility degree; Distance
资金
- National Natural Science Foundation of China (NSFC) [71101043, 71301142]
- National Social Science Foundation of China [12ZD214]
- Excellent Talents in Hohai University and Zhejiang Natural Science Foundation of China [LQ13G010004]
Xu (2013) proposed a nonlinear programming model to derive an exact formula to determine the experts' relative importance weights for the group decision making (GDM) with interval preference orderings. However, in this study, we show that the exact formula to determine the weight vector which always equals to w = (1/m, 1/m 1/m)(T) (m is the number of experts). In this paper, we propose a distancebased aggregation approach to assess the relative importance weights for GDM with interval preference orderings. Relevant theorems are offered to support the proposed approach. After that, by using the weighted arithmetic averaging operator, we obtain the aggregated virtual interval preference orderings. We propose a possibility degree formula to compare two virtual interval preference orderings, then rank and select the alternatives. The proposed method is tested by two numerical examples. Comparative analysis are provided to show the advantages and effectiveness of the proposed method. (C) 2014 Elsevier Ltd. All rights reserved.
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