On Method for Uncertain Multiple Attribute Decision Making Problems with Uncertain Multiplicative Preference Information on Alternatives

The uncertain multiple attribute decision making (UMADM) problems are investigated, in which the information about attribute weights is known partly and the attribute values take the form of interval numbers, and the decision maker (DM) has uncertain multiplicative preference information on alternatives. We make the decision information uniform by using a transformation formula, and then establish an objective-programming model. The attribute weights can be determined by solving the developed model. The concept of interval positive ideal point of alternatives (IPIPA) is introduced, and an approach based on IPIPA and projection to ranking alternatives is proposed. The method can avoid comparing and ranking interval numbers, and can reflect both the objective information and the DMs subjective preferences.     

不确定多属性决策中的一种模糊赋权方法

研究了以三角模糊数给出属性权重的不确定多属性决策问题,提出了一种基于三角模糊数的赋权方法,并给出了决策模型.首先决策者将属性权重两两比较的结果用三角模糊数表示,构造三角模糊数互补判断矩阵.通过求解矩阵得到模糊权重.然后,集结各方案的模糊综合属性值,通过构造并求解可能度矩阵对方案进行排序.最后给出了一个应用实例.