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基于灰色聚类的群决策方法研究
引用本文:宋捷 党耀国,华增木.基于灰色聚类的群决策方法研究[J].控制与决策,2010,25(10):1593-1597.
作者姓名:宋捷 党耀国  华增木
作者单位:1. 南京航空航天大学,经济与管理学院,南京,210016;江苏省发展和改革委员会,南京,210013
2. 南京航空航天大学,经济与管理学院,南京,210016
基金项目:国家自然科学基金,南京航空航天大学博士学位论文创新与创优基金
摘    要:采用非线性变换对区间灰数形式的决策信息进行规范化处理,并由决策者问差异度最小构建优化模型,确定指标权重.考虑到在决策者较多的情况下对决策者进行聚类处理可以提高决策质量,给出了决策者决策信息的灰色关联度的计算方法,并基于灰色关联度提出了对决策者进行分类的灰色聚类算法.在此基础上,提出了对聚类后各决策者类的决策信息集结的决策模型.最后通过一个实例说明了所提出方法的可行性和有效性.

关 键 词:群决策  灰色系统理论  灰色关联度  聚类算法
收稿时间:2009/9/1 0:00:00
修稿时间:2009/12/15 0:00:00

Study on the Group Decision-Making Method based on the Grey Cluster Model
SONG Jie DANG Yao-guo,HUA Zeng-mu.Study on the Group Decision-Making Method based on the Grey Cluster Model[J].Control and Decision,2010,25(10):1593-1597.
Authors:SONG Jie DANG Yao-guo  HUA Zeng-mu
Abstract:A nonlinear transformation is used to normalize the
decision information which
is in the form of interval grey number, and the weights of indexes are
obtained through a optimization model which minimizes the difference degree
between the decision makers. Considering when the group of decision makers
is large, getting the decisiong conclusion after clustering the decision
makers can improve precision. Then this paper presents the grey incidence
analysis of the decision information, and proposes a grey cluster model
based on the grey incidence degree. Furthermore, the paper proposes a grey
decision-making model. Finally, an example shows the feasibility and effectiveness
of the method.
Keywords:Group decision-making|Grey systems theory|Grey incidence analysis|Clustering algorithm
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