不确定多属性Vague集决策方法

Method for uncertain multicriteria decision making of Vague sets

针对指标权重信息未知的Vague集多指标决策问题,通过计算各方案与理想方案的相离度来建立最优化决策模型,求解该模型获得指标的权重,并引入了方案集的最优点和最劣点的概念,给出了Vague集多指标决策的新方法。该方法根据模糊值矩阵得到方案的最优点和最劣点,通过计算各方案到最优点和最劣点的距离对方案进行排序。最后用实例进行了验证。

By calculating deviation degree of every alternative to ideal alternative,this paper presents the optimization model for Vague multi-attribute decision making problems which the information on attribute weights is unknown.By solving the model,the attribute weights are obtained.By introducing the definitions of optimal plan and inferior plan,the paper gives a new method.The optimal plan and the inferior plan are obtained according to fuzzy matrix.By calculating the distance of every plan to the optimal plan,the best alternative can be obtained and every alternative is ranked.Finally,a practical example demonstrates the validity of the method.