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极大熵准则下的群决策AHP-DEA模型研究
引用本文:金帅,张庆,卢波.极大熵准则下的群决策AHP-DEA模型研究[J].科技管理研究,2017(2).
作者姓名:金帅  张庆  卢波
作者单位:南京航空航天大学 经济与管理学院,南京航空航天大学 经济与管理学院,南京航空航天大学 经济与管理学院
基金项目:基于灰色模型技术的交通污染排放预测与环境预警研究(71371098)
摘    要:将群决策思想融入该模型,通过对多决策者不同偏好的基于欧式距离的聚类、基于判断矩阵hardmard积的集结以及基于极大熵准则的合成,形成含有群决策思想的DEA偏好约束锥,置于DEA模型中,从而形成了极大熵准则下的群决策下的AHP约束锥的DEA模型,最后结合算例,论证了该方法的可行性。

关 键 词:极大熵  群决策DEA  Hardmard积  AHP约束锥
收稿时间:2016/4/21 0:00:00
修稿时间:2016/5/16 0:00:00

Research on Group Decision Making ModelAHP-DEA Based on the Maximum Entropy Criterion
Abstract:The construction of traditional DEA model with AHP restraint cone is under the environment of a single decision maker, unable to solve the problem when multiple decision preference exist, so it has a great deal of risks and uncertainties. Now solving a decision problem often need to consider various opinions. So, in this paper, through composing different preferences of decision makers that based on the clustering of Euclidean Distance, the mass of Hadamard product of judgment matrix and the Maximum Entropy Criterion, integrate the concept of group decision making into the AHP-DEA model and form the DEA constraint cone that contains the concept of group decision making and put it into DEA model. So we get the DEA model based on the maximum entropy criterion, group decision making and the constraint cone of AHP. Finally, in combination with numerical example, we demonstrate the feasibility of this method.
Keywords:maximum entropy  group decision making of DEA  Hadamard product  constraint cone of AHP
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