【摘要】 通过模糊集“弱包含于B”的引入 ,利用模糊隶属函数对普通粗集、粗模糊集和模糊粗集中的隶属函数进行了描述 ,得到了粗集理论与模糊集理论在隶属函数上的相关性 .并从语义的角度讨论了粗集与模糊集的区别和联系 .更多还原

【Abstract】 By introducing a fuzzy concept "weakly included in B ", the membership functions of rough set (RS), rough fuzzy set (RFS) and fuzzy rough set (FRS) are discussed. It could be obtained that all of these membership functions can be stated in a same form. In addition of this, the relationship among μ R(A) ( R),μ R(A) ( R) and μ IN<A> ( R) is also revealed. Because of the likeness in semantics, the support set and 1 cut set of a set have some connections with the upper approximation and lower approximation of the set.更多还原