In this paper, three new types of fuzzy covering-based rough set models are proposed. First, the membership-degree-based fuzzy covering rough set is defined in the fuzzy covering approximation space by separately comparing the membership degree of each object belonging to the approximated fuzzy set with those of the component fuzzy sets in the fuzzy covering for the same object. Second, the membership-function-based fuzzy covering rough set is obtained by globally comparing the membership function of the approximated fuzzy set with those of the component fuzzy sets in the fuzzy covering. Finally, the membership-function-based fuzzy covering rough set model is generalized to the fuzzy β-covering approximation space. The properties of these new rough set models are discussed. Furthermore, the relationship between these new rough sets and the relationship between the new rough set and Pawlak rough set are described.

在本文中，提出了三种新的基于模糊覆盖的粗糙集模型。首先，在模糊覆盖近似空间中定义基于隶属度的模糊覆盖粗糙集，将属于近似模糊集的每个对象的隶属度与同一对象的模糊覆盖中的分量模糊集的隶属度分别进行比较。 . 其次，将近似模糊集的隶属函数与模糊覆盖中的分量模糊集的隶属函数进行全局比较，得到基于隶属函数的模糊覆盖粗糙集。最后，将基于隶属函数的模糊覆盖粗糙集模型推广到模糊β-覆盖近似空间。讨论了这些新的粗糙集模型的特性。此外，描述了这些新粗糙集之间的关系以及新粗糙集和Pawlak粗糙集之间的关系。