基于二次规划与相对优势度的不确定多属性决策法

针对属性权重未知且属性值为区间数的不确定多属性决策问题,提出了一种新的决策分析方法。该方法的核心是基于加权属性值离差平方和最大,建立一个二次规划模型,通过求解该模型获得属性权重,从而由加性加权法得到方案的综合属性值,进而利用各方案的相对优势度和对方案进行排序。最后,通过算例说明方法的可行性和实用性。

Method of uncertain multi-attribute decision-making based on quadratic programming and relative superiority degree

A new analysis method with regard to uncertain multi-attribute decision making problems is proposed,in which the attribute weights are unknown and the attribute values are interval numbers.The core of this method is that a quadratic programming model based on the maximum sum of squares of deviations on the weighted attribute values is established.The attribute weights are obtained by solving the model,and then the overall values of alternatives are gained by using the additive weighting method.Furthermore,the alternatives are ranked by using the sum of relative superiority degree on every alternative.Finally,a numerical example is illustrated to show the feasibility and practicability of the developed method.