基于Vague集包含度的模糊多目标决策  

Multi-Criteria Fuzzy Decision Making Based on Inclusion Degree of Vague Sets

作　　者：刘华文[1] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100

出　　处：《中国管理科学》2004年第4期89-93,共5页Chinese Journal of Management Science

基　　金：山东省自然科学基金资助项目(Y2001G07)

摘　　要：将Vague集的包含度应用于模糊条件下的多目标决策问题。首先,定义vague集的包含度,利用正常蕴涵算子给出Vague包含度的一系列具体公式,并通过定义Vague集的基数将模糊集的部分包含度公式推广到Vague集。然后给出基于Vague集包含度的模糊多目标决策方法。最后,通过例子阐明方法的有效性。The concept of inclusion degree of vague sets is applied to multi-criteria decision making in fuzzy environment.First,inclusion degree of vague sets is defined and a series of specific formulas of inclusion degree are presented by means of the norml implication operators.Some formulas of inclusion degree of fuzzy sets are generalized to vague sets by defining the cardinal number of vague sets.Then,we give multi-criteria fuzzy decision-making method based on inclusion degree of vague sets.Finally,we illustrate the effectiveness of the method proposed in this paper by an example.

关 键 词：模糊多目标决策 VAGUE集 包含度 正常蕴涵 基数 

分 类 号：O159[理学—数学] O223[理学—基础数学]