›› 2014, Vol. 27 ›› Issue (2): 7-.

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Determination of Expert Objective Weight Based on Matrix Similarity

 SU Yan, LIU Shen-Yan   

  1. (School of Mathematics and Statistic,Xidian University,Xi'an 710071,China)
  • Online:2014-02-15 Published:2014-01-12

Abstract:

A determination method of expert objective weight based on matrix similarity is proposed for interval multi-attribute decision-making.Firstly,similarity matrices are obtained by comparing weighted standardization decision matrices;secondly,every row or column of the matrix similarity is added to calculate the rough value of the weight of experts,noted as rough weight and then a concept of interval ideal matrix is also presented;finally,by comparing the projection of weighted standardization decision matrix and the interval ideal matrix,the weight of experts is obtained.Compared with interval idea solution,the interval ideal matrix in this paper is more accurate.Examples demonstrate the superiority of the proposed method.

Key words: matrix similarity;the estimated weights of decision makers;ideal decision matrix;projection

CLC Number: 

  • C934