基于方案满意度的区间型多属性决策方法及应用

Method for Interval Multiple Attribute Decision Making Based on the Maximum Degree of Satisfaction of Alternative and Its Application

研究了属性权重和属性值均以区间数形式给出的不确定多属性决策问题.针对此类区间型多属性决策问题,定义了方案的综合属性正理想值、综合属性负理想值和带风险度的综合属性值;依据决策者对风险的态度,给出了方案满意度函数;提出了基于方案满意度的单目标优化模型;最后应用该模型解决了投资方案的选择问题.

The uncertain multiple attribute decision-making problem is discussed,in which the attribute weights and the attribute values are in the forms of interval numbers.Complex attribute ideal value of alternative,complex attribute negative ideal value,complex attribute ideal value with risk degree and the degree satisfaction of alternative are presented in uncertain multi-attribute decision-making,and a singular-objective optimization model is given.The weights of attributes can be attained,then the priorities of alternatives can be got according to complex attribute ideal value with risk degree.Finally,a numerical example is given to show the feasibility and effectiveness of the proposed method.