对方案有偏好的不完全信息下的决策分析模型

A Decision Making Analysis Model with Preference on Alternatives under Incomplete Information

研究了一类属性权重和边际效用以线性不等式形式表示,且方案的偏好信息以模糊偏好关系给出的多属性决策问题。在定义偏离度的基础上,构造了一个确定属性权重和边际效用的非线性规划模型,通过引入新变量将它转化为线性规划问题,并依据求解结果确定最优方案,从而使决策结果既能反应客观信息又能体现决策者的主观偏好。最后,通过它在ERP系统选择问题中的应用说明了该方法的可行性。

This paper mainly deal with the multi-attribute decision-making （MADM） problem with fuzzy preference information on alternatives when marginal values and weights are simultaneously incomplete. In order to make decision-making result reflect objective information and subjective preference of decision maker, a non-linear programming model is constructed to determine the weigh vector and marginal values of alternatives. A new variable is introduced to transform this non-linear model into the linear programming problem without changing optimal solution. Finally, an application is given to demonstrate the validity and rationality of this model.