一种新的双论域上模糊粗糙集

摘要

粗糙集模型的推广一直是粗糙集理论研究的一个热点.该文基于模糊相容关系,定义了双论域上模糊集的上下近似算子,从而得到了一种新的双论域上模糊粗糙集模型,并研究了它的性质.%The extension of rough set is a hot research direction in rough set theory.The aim of this paper is to present a new extension of rough set model over two different universes which is a new fuzzy rough set on two universes based on a fuzzy compatible relation.The low and upper approximation of a fuzzy set are defined.Moreover,several properties of this rough set model are also investigated.