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三参数区间灰数信息下风险型多准则决策方法

DOI: 10.16383/j.aas.2015.c140157, PP. 1306-1314

Keywords: 风险型决策,前景理论,三参数区间灰数,参考点

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Abstract:

?针对概率和准则值均为三参数区间灰数的多准则决策问题,本文提出了一种基于前景理论的决策方法.该方法首先定义了三参数区间灰数的距离和精确记分函数,并通过讨论其性质给出了比较大小的方法;其次,通过给出三参数区间灰数前景价值和概率权重函数的定义,以多参考点为思路,构建前景决策矩阵,并通过提出参考点集结算子,集结出综合前景决策矩阵.进而,由优化模型求得的最优准则权系数加权得出方案的综合前景值及排序;最后,通过算例对比说明了该方法的合理性和可靠性.

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