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Chinese Journal of Management Science ›› 2013, Vol. 21 ›› Issue (5): 110-114.

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A Method for Multiple Criteria Group Decision Making with Uncertain Preference Ordinals

YOU Tian-hui1, LI Hong-yan1, LIU Cai-na2   

  1. 1. School of Business Administration, Northeastern University, Shenyang 110819, China;
    2. Shijiazhuang Vocational College of Industry and Commerce, Shijiazhuang 050091, China
  • Received:2011-11-24 Revised:2013-05-02 Online:2013-10-30 Published:2013-10-15

Abstract: A method to solve the multiple criteria group decision making (MCGDM) problem with uncertain preference ordinals is proposed, in this paper. The MCGDM problem with uncertain preference ordinals is described first, and then the calculation formula for votes transformed from uncertain preference ordinals is given. Furthermore, according to the fundamental idea of Bernardo method, the corresponding votes are calculated and the group voting matrix is constructed based on the the uncertain preference ordinals given by expers. An 0-1 integer programming model is built based on the group voting matrix and the alternatives can be ranked by solving the model. At last, though a numerical study and comparatively analysis with previous method, the proposed method is proved to be feasible and effective.

Key words: multiple criteria group decision making (MCGDM), uncertain preference ordinal, Bernardo method, weight, ranking of alternative

CLC Number: