一种风险型多属性灰靶决策方法

A risky multi-attribute grey target decision making method

针对方案值为区间灰数且属性权重未知的灰色多属性风险型决策问题,提出一种风险灰靶决策方法。首先,为保留各决策属性的风险,定义了方案的正负期望偏离靶心度和综合期望偏离靶心度;其次,充分利用风险决策矩阵信息,建立确定指标权重的优化模型,通过计算综合期望偏离靶心度对方案进行排序;最后,通过一个实例验证该模型适用于信息值为区间灰数的风险型多指标决策问题,表明了该模型的有效性和可行性。

For grey risky multi-index decision-making problems,in which the alternatives index value are interval grey numbers and the attribute weights information is unknown,a method based on grey target is proposed.Firstly,in order to keep index risk, the positive and negative expected deviate from clouts degree and comprehensive expected deviate from clouts degree are defined. Secondly,making full use of the risk decision matrix information,optimization model is established to determine the index weights.By calculating the comprehensive expected deviate from clouts degree to rank solutions.Finally,an example illustrates this model is suitable for the decision-making problems which index values are interval grey numbers,it shows the feasibility and the validity of the model.