基于两参照点的动态混合多属性群决策算法

Algorithm of dynamic hybrid multi-attribute group decision-making based on two reference points

针对方案属性值为三参数区间灰数与三角模糊数相混合的动态多属性群决策问题,提出一种基于前景理论和两参照点的动态解决方案.针对灰数与模糊数混合的状况,提出混合靶心模型;设置时间参照点,通过均值和平均发展速度,考察各方案之间动态发展情况;利用向量之间的夹角,考察专家个体决策与群决策之间的相似度,建立相应的专家权重调整模型;考虑决策问题发展过程中的未来多个阶段,采用熵权法确定时间权重,并通过算例验证所提出方法的可行性和实用性.

With respect to the dynamic multi-attribute group decision-making problem with mixed information of the three-parameter interval grey number and triangular fuzzy number, a dynamic method based on the prospect theory and two reference points is proposed. For the problem of mixed gray numbers and fuzzy numbers, the mixed target model is proposed. In order to understand the dynamic development of each alternative, the time reference point is set based on the mean value and the average development speed. By investigating the similarity between individual decision-making and group decision-making, the adjustment model of expert＇s weight is established. Considering the multiple stages in the development of decision-making, the entropy weight method is used to determine the weight of time. Finally, a numerical example is given to illustrate the feasibility and practicability of the proposed method.