基于属性价值函数估计的不确定多属性决策方法

针对属性权重为实数,且权重信息完全未知的不确定多属性决策问题,提出了一种基于属性价值函数估计的决策分析方法。首先,对多属性效用函数和价值函数进行了分析;然后,采用曲线拟合的方法确定属性价值函数的近似表达式,计算决策方案各属性的价值函数值,根据价值函数的可加性确定各方案的价值函数值,以此对方案进行排序与择优。最后给出一个算例,验证了所提方法的有效性。

Method for uncertain multiple attribute decision making based on estimation of attribute value functions

With regard to the uncertain multiple attribute decision making problems in which information on attribute weights is unknown completely and attribute values are in real numbers,an analysis method is proposed based on the estimation of attribute value functions.First,the multiple attribute utility functions and value functions are introduced.Then,in order to calculate the values of value functions for each attribute,an approximate curve is constructed to obtain the form of value functions.Further,the overall values of each alternative are obtained by adding the values of value functions for each attribute in this alternative and thus the alternative ranking results can be determined.Finally,an example is used to illustrate the proposed method.