多目标组合决策方法研究

Study on the Multi-Objective Combination Decision-Making Method

针对采用几种不同方法确定指标权系数的多目标决策问题 ,证明了由期望效益法优化模型确定的综合权系数为几种方法确定的权系数的平均值 ,并构造了一种具有兼顾不同方法确定的权系数的综合决策模型。该模型通过假定待确定的权系数为由几种方法确定的权系数的线性组合 ,构建每一指标下任一方案与其它方案的离差 ,进而构建最优模型 ,求解最优模型得到权系数。该模型对群决策同样适用。实例应用说明 ,该方法可行、有效 ,可应用于经济决策的实际问题中。

For the multi objective decision making with some weight coefficients determined by several methods, it is proved that the synthetic weight coefficient determined by using the benefit expectancy model is the average of many weights determined by some methods, and a decision making model with many weights determined by several methods is proposed. The model firstly supposes that the synthetic weight coefficient is the linear combination of some weight coefficients determined by several methods, then formulates the deviation of each indexes and other indexes and gains an optimal model, thus establishing the weight coefficients of the system. With the help of some examples, the model is shown to be practical and effective, and can be applied to the economic decision making.\;