一个模糊粗糙集是一对模糊集,它可以用一簇经典粗糙集表示出来。本文研究了模糊粗糙集的表示问题,利用模糊集的分解定理证明了一个模糊粗糙集可以用一簇粗糙模糊集表示出来,利用这个结果可以证明模糊粗糙集的一些重要性质。
A fuzzy rough set is a pair of fuzzy sets and can be represented as a class of crisp rough sets. In this paper, a new representation of fuzzy rough sets is presented. It is proved that a fuzzy rough set can be represented by a class of rough fuzzy sets. The results can be used to examine properties of fuzzy rough sets.