In this paper, we generalize three types of rough set models based on j-neighborhood space (i.e, type 1 j-neighborhood rough set, type 2 j-neighborhood rough set, and type 3 j-neighborhood rough set), and investigate some of their basic properties. Also, we present another three types of rough setmodels based on j-adhesion neighborhood space (i.e, type 4 j-adhesion neighborhood rough set, type 5 j-adhesion neighborhood rough set, and type 6 j-adhesion neighborhood rough set). The fundamental properties of approximation operators based on j-adhesion neighborhood space are established. The relationship between the properties of these types is explained. Finally, according to j-adhesion neighborhood space, we give a comparison between the Yao’s approach and our approach.

中文翻译：

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基于j邻域空间和j粘附邻域空间的六种粗略近似的比较

在本文中，我们基于j邻域空间概括了三种类型的粗糙集模型（即1类j邻域粗糙集，2类j邻域粗糙集和3类j邻域粗糙集），并研究了一些基本特性 此外，我们基于j粘附邻域空间提出了另外三种类型的粗糙集模型（即4类j粘附邻域粗糙集，5类j粘附邻域粗糙集和6类j粘附邻域粗糙集）。建立了基于j-粘附邻域空间的近似算子的基本性质。说明了这些类型的属性之间的关系。最后，根据j黏附邻域空间，我们对姚明的方法和我们的方法进行了比较。