边界不确定信息的处理—Fuzzy集和Vague集

Disposal of Information with Uncertain Borderline-Fuzzy Sets and Vague Sets

Fuzzy集和Vague集都可用于边界不确定信息的处理。文章首先研究了这两种集合间的关系、性质,提出了Fuzzy集和Vague集的边界不确定性都可用犤0,1犦上的一个子区间来进行描述的思想。然后基于一些Vague集相似度量的思想,提出了一种求Fuzzy集和Vague集的相似性度量方法,并建立了基于Fuzzy集和Vague集度量方法的统一模型,该模型在这两种集合相似性度量上是等价的,并给出了该模型满足的性质。

Fuzzy set and vague set can be used in the disposal of information with uncertain borderline.At first,This paper analyzes the relationship and properties of some basic concepts of these two sets.It finds that the uncertain bor-derline of the two sets can be described by a uniform subinterval in 0,1.Then,the ways for measuring the similarity of fuzzy sets and vague sets are developed based on some ideas of vague sets.At last,a uniform model for measuring the similarity of two uncertain sets is proposed.It is proved that fuzzy sets and vague sets are equivalent on measuring the similarity of two uncertain sets in this uniform model.Some properties of this model are presented also.