模糊性偏序关系上的信息融合

Information Aggregation Based on Fuzzy Preference Relations

用三角模引进模糊性偏序关系 ,采用算术平均、极大值、极小值融合算子 ,用超过关系和非不协调关系对多准则评估信息进行融合和分类 ,证明了这种方法符合阿罗公共选择的一致性和非独裁性条件 ,但不符合无关备选对象独立性。

Fuzzy preference relations expressed by triangular norm are proposed in this paper. We establish outranking and non discordant relations based on fuzzy preferences and use arithmetic operator, maximum and minimum prerators to integrate and classify multiple criteria alternatives. We show this aggregation method satisfies consistency condition, satisfies non dictatorship in usual situations and doesn't satisfy independence of irrelevant alternatives condition. We point out the wrong conclusion ablut the independence in paper.