针对考虑群体参照点的多属性决策问题,提出一种基于前景理论的决策分析方法。在提出的方法中,考虑了群体成员的心理行为。首先,依据D—S证据理论的思想,计算各参与决策人的参照点对群体参照点的影响度,进而确定群体参照点;然后,依据前景理论分别建立相对于群体参照点的群体收益矩阵和群体损失矩阵,并通过计算每个方案的群体前景值进行方案排序。最后,实例分析说明了提出方法的可行性。
A decision analysis method based on prospect theory is proposed to solve the multiple attribute decision making problem with group reference points. First, according to the idea of D - S theory, the group reference point for each attribute is determined by calculating the influence degree of each member' s reference point to the group reference point. Then, based on prospect theory, the group gain matrix and group loss matrix of the decision matrix relative to group reference points are constructed, respectively. Further, the ranking of alternatives can be determined by calculating group prospect values for alternatives. Finally, a practical example is given to illustrate the feasibility of the proposed method.