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风险型多属性群决策的综合集成方法
引用本文:周玲,罗党.风险型多属性群决策的综合集成方法[J].数学的实践与认识,2011,41(17).
作者姓名:周玲  罗党
作者单位:华北水利水电学院数学与信息科学学院,河南郑州,450011
基金项目:河南省教育厅自然科学基础研究计划项目(2011A11011); 河南省软科学研究计划项目(082400440100)
摘    要:对一类权重信息未知,并且属性值为区间灰数的风险型多属性群决策问题进行了探讨,提出了在理想状态下(即决策者群体的理想意见趋于一致时)各属性的客观权重的计算方法.构建了以组内偏差最小、组间偏差最大为目标函数的综合集成优化模型,求解出理想状态下各属性的客观权重.然后综合考虑各决策者的主观偏好,借助每一方案与理想最优方案组、理想最劣方案组综合偏离度的大小对方案的优劣进行排序.应用实例说明了该方法的可行性和有效性.

关 键 词:风险型群决策  区间灰数  偏差  权重

Integrated Method of Multi-Attribute Risk Group Decision-Making
ZHOU Ling,LUO Dang.Integrated Method of Multi-Attribute Risk Group Decision-Making[J].Mathematics in Practice and Theory,2011,41(17).
Authors:ZHOU Ling  LUO Dang
Institution:ZHOU Ling,LUO Dang (College of Mathematics and Information Sciences,North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China)
Abstract:The problem of grey multi-attribute risk group decision-making is studied,in which the attributive values are interval grey numbers and the attribute weights are unknown..Using grey incidence method of the grey system theory,Relative deviation degree based on the best alternative group and the worst alternative group,a new method is proposed.It establishes the integrated optimization model dealing the weights of index based on that the deviation of win thing groups is minimal value and the deviation of betw...
Keywords:risk group decision-making  interval grey number  deviation  weight  
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