关键词: 群组赋权, 聚类, 聚类阀值, 信息熵, 相关系数

Abstract: In terms of the research of multi-attribute group decision-making, a method for combination weighting experts is put forward based on information entropy and cluster analysis so as to scientifically determine the weight of every expert. According to the experts' collating vectors obtained by normalization of corresponding judgment matrixes, correlation matrix is constructed by the correlation coefficient. Through the analysis of change rate of threshold, the optimal clustering threshold is selected and the higher priority vector similarity obtained the reasonable clustering. The experts' weight of within-class can be ascertained by the theory of information entropy weight. The experts' weights are determined according to the result of classification and information entropy of collating vectors. Finally, a numerical example shows that the method is effective for the higher priority vector similarity classification and can accurately weighing every experts' information. The method will effectively improve the rationality of determining experts' weight and contribute to scientific group decision-making.

Key words: combination weighting experts, cluster, clustering threshold, information entropy, relative coefficient