Computer Science

Computer Science ›› 2019, Vol. 46 ›› Issue (6): 218-223.doi: 10.11896/j.issn.1002-137X.2019.06.033

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Linguistic Multi-attribute Group Decision Making Method Based on Normal Cloud Similarity

XU Cong, PAN Xiao-dong   

  1. (School of Mathematics,Southwest Jiaotong University,Chengdu 610031,China)
  • Received:2018-05-04 Published:2019-06-24

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Abstract: On the basis of analyzing the inadequacies of existed similarity measures between normal clouds,through synthetically considering the shape similarity and position similarity of normal clouds,this paper proposed a new similarity measure between normal clouds,and proved its characteristics.The comparison results with other methods demonstrate the stronger discrimination of the proposed method.The proposed normal cloud similarity measurement method was applied to the linguistic multi-attribute group decision.Firstly,the linguistic variables is transformed into a normal cloud according to the normal distribution law.Secondly,information aggregation is realized by means of cloud weighted arithmetic mean operator.Finally,according to the VIKOR method,the scheme is ranked by the comprehensive similarity of the optimal cloud and the worst cloud.The feasibility and validity of this method were analyzed through an example in this paper.

Key words: Linguistic variables, Multi-attribute group decision making, Normal cloud, Similarity

CLC Number: 

  • TP391
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