权重信息未知的区间直觉模糊多属性决策方法

A decision making method of interval-valued intuitionistic fuzzy multiple attributes with unknown attribute weight information

针对权重信息完全未知且属性值为区间直觉模糊数的多属性决策问题,提出了一种基于线性规划和投影模型的决策方法.该方法首先引入区间直觉模糊数相离度的概念,然后,给出了一种基于加权属性值离差最大化的线性规划模型,通过求解此模型得到相应的属性权重.进而利用各个方案的加权属性值在加权模糊正理想点上的投影对方案进行排序.最后用实例说明了该方法的可行性和有效性.

with regard to decision making problem of the interval-valued intuitionistic fuzzy multiple attributes with complete unknown attribute weights, a decision making method based on the linear programming and projection model is proposed in this paper. Firstly, the concept of deviation degree between two interval-valued intuitionistic fuzzy numbers is introduced. Then, a linear programming model based on the maximizing deviation of weighted attribute values is presented. The attribute weights are obtained through solving the model. Furthermore, the programs are ranked by using the projections of the weighted attribute values in each program on the weighted fuzzy positive ideal point. Finally, a case study is given and the result shows this method is feasible and effective.