摘要
基于决策者的效用函数,通过将客观属性值矩阵转换为主观属性值矩阵来反映决策者对属性值的不同判断.首先通过使用熵权法,依据属性的主观值矩阵和客观值矩阵分别确定属性的主观权重和客观权重;然后基于最小叉熵准则构建优化模型,将所有决策者的主观属性权重综合成一个权重向量;最后,再次利用最小叉熵准则集成属性的主观权重和客观权重.所提出方法充分考虑了所有决策者对多属性决策问题的不同判断,提供了一种基于信息熵的可行权重集成方法.
Based on the decision-makers＇ utility function, the attributes value matrix is converted to the subjective attributes value matrix to reflect their subjective judgments on the attributes value. By utilizing the entropy weighting technique, the decision-maker＇s subjective weight and objective weight of attributes are determined individually based on the subjective attributes value matrix and attributes value matrix. Then, based on the principle of minimum cross-entropy,all decision-makers＇ subjective weights are integrated into a single weight vector. Then, by applying the principle of minimum cross-entropy again, a weight aggregation method is proposed to combine the subjective and objective weight of attributes. Finally, a multiple attribute group decision-making（MAGDM） example of project choosing is presented to illustrate the procedure of the proposed method. The method proposed fully takes all decision-makers＇ various evaluation on a multiple attribute decision-making（MADM） problem into consideration, which provides a feasible method based on the information-theoretic entropy to aggregate weights in MAGDM problems.
作者
何大义
陈小玲
许加强
HE Da-yi CHEN Xiao-ling XU Jia-qiang(School of Humanities and Economic Management, China University of Geosciences（Beijing）, Beijing 100083, China)
出处
《控制与决策》
EI
CSCD
北大核心
2017年第2期378-384,共7页
Control and Decision
基金
中央高校基本科研业务费优秀教师项目(2-9-2015-033)
关键词
多属性群决策
最小叉熵准则
熵权法
权重集成
MAGDM
principle of minimum cross-entropy
entropy weighting technique
weight aggregation
