Research on expert weighting method based on D-S evidence theory

Yanling Li, Yehang Zhu, Jianwei Wu · 2017

Aiming at the problem of expert weighting in group decision making, an expert weighting method based on D-S evidence theory is studied. Three ways such as the distance, grey correlation and the combination of these two methods are used to measure the deviation degree of the experts' opinions on the scheme, construct mass function based on this, and uses the D-S synthesis rule to carry on the information fusion, get the comprehensive deviation degree of expert opinion, so as to determine the weight of experts; Group decision matrix satisfaction degree analysis method is proposed based on relative entropy, each row of the expert individual decision matrix is considered as a random variable, the relative entropy of the corresponding row of a group decision matrix is calculated, combined with relative entropy of each line, matrix satisfaction degree is obtained, Based on matrix satisfaction degree, the validity of the proposed method is verified through example analysis.

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