基于粗糙数的BWM-TOPSIS 多准则群决策方法

多准则群决策是决策领域的研究热点, 如何在信息不确定性和评价主观性背景下选择合适的决策方法则是研究的难点. 为了解决这一问题, 提出一个新的基于粗糙数的多准则群决策方法. 首先, 提出基于粗糙数的最优最劣方法(RBWM) 确定评价准则的权重; 然后, 利用粗糙数改进的逼近理想解排序法(RTOPSIS) 评价备选方案并做出最优决策; 最后, 利用一个实例对所提出的群决策方法进行应用和灵敏度分析, 并与其他决策方法进行对比分析, 验证了所提出方法的有效性和准确性.

BWM-TOPSIS multi-criteria group decision-making method based on rough number

The multi-criteria group decision-making(MCGDM) problem is a hot topic in the decision-making area, especially in the environment with much uncertainty and subjectivity. A new MCGDM method based on the rough number is proposed to solve this problem. The RBWM is proposed for calculating weights of criteria firstly, and then the RTOPSIS is applied to alternative evaluation and selection. Finally, a practical example is given to illustrate the application of the proposed method and its sensitivity analysis. The comparison with other methods verify the effectiveness and accuracy of the proposed method.