基于目标规划和投影的模糊多属性决策法

Method of fuzzy multi-attribute decision-making based on goal programming model and projection

针对部分权重信息下对方案有模糊互反偏好关系的决策问题,首先,基于决策者的主客观偏好信息偏差最小化建立一个目标规划模型获得属性权重,其次,利用各方案的模糊加权属性值在正理想解上的投影对方案进行排序,最后进行了实例验证。

The problem to be solved is fuzzy multi-attribute decision-making with fuzzy reciprocal preference on alternatives under partial weight information.Firstly,based on the minimum deviation between subjective and objective preference information on alternatives,a goal programming model is established and the attribute weights are obtained by solving the model.Secondly,the alternatives are ranked by using the projection of the weighted attribute values of every alternative on fuzzy positive ideal solution（FPIS） of alternatives.Finally,a practical example is illustrated.