基于Vague集的加权多目标模糊决策方法

Weighted Multicriteria Decision Making Based on Vague Sets

1 引言在多目标模糊决策支持系统中,通常要在多个目标中依据有关约束条件选择最佳的目标。由于信息的不确定性,许多学者采用Fuzzy集理论来处理这类问题。Chen在文[3]中提出了采用Vague集的方法来处理模糊条件下的多目标决策问题,并讨论了加权情况下的处理方法。然而在Chen的方法中,没有定义加权情况下Vague集的运算,其加权处理是针对目标选择计分函数S的,而非Vague集;

The characteristics of vague sets are analyzed,the deficiency of the score function proposed by Chen using vague sets to handle multicriteria decision making problems is pointed out. A new score function of weighted forms is then given,it satisfies the'voting model'of vague sets very well. Through numerical examples,it shows our method is more versatile.