电光与控制, 2012, 19 (3): 44, 网络出版: 2012-03-17
基于熵权的群组灰色聚类决策法
A Method for Group Decision-Making Based on Entropy Weight and Gray Cluster Analysis
群组决策 灰色聚类 熵权 排序向量 关联矩阵 group decision-making grey cluster entropy weight sequencing vector correlation matrix
摘要
在多属性群组决策方法的研究中,为了客观合理地确定群组专家的权值,提出一种基于熵权的群组灰色聚类决策方法。依据各个专家的判断矩阵归一化得到的排序向量,利用灰色绝对关联矩阵进行聚类分析并类间赋权,运用熵权理论进行类内赋权,结合算例验证了该方法可行有效。结果表明,该方法可以有效提高专家赋权的合理性和群组决策的科学性。
Abstract
In order to reasonably determine the weight of each expert in multi-attribute group decision-making,a method based on entropy weight and gray cluster analysis was proposed.According to the sequencing vectors obtained by normalization of each expert's corresponding judgment matrixes,cluster analysis was made with the absolute correlation matrix of gray system and the weights of inter-class were determined.The weights of within-class could be ascertained by the theory of entropy weight.A numerical example proved the feasibility and effectiveness of this method.The result showed that the method can effectively improve the rationality for weight determining and can contribute to scientific group decision-making.
蔡忠义, 陈云翔, 徐吉辉, 项华春. 基于熵权的群组灰色聚类决策法[J]. 电光与控制, 2012, 19(3): 44. CAI Zhongyi, CHEN Yunxiang, XU Jihui, XIANG Huachun. A Method for Group Decision-Making Based on Entropy Weight and Gray Cluster Analysis[J]. Electronics Optics & Control, 2012, 19(3): 44.