本文研究模糊近似空间与模糊拓扑空间之间的关系、基于模糊覆盖的粗糙集模型与约简等问题。

This paper discusses the relationships between a fuzzy approximation space and a fuzzy topology space. The approximations and reduction in fuzzy covering-based rough sets are also studied.

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由于一般拓扑空间及模糊拓扑空间都是拓扑分子格的特殊情况，所以，这些结果具有比较广泛的适用性。

Since both general topological space and fuzzy topological space are special cases of topological molecule lattice, these results can be widely used.

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在模糊拓扑空间中，有些集合本身并不是闭集，但在某些层次上它却表现出闭集的特性，这就是所谓的层次闭集。

In fuzzy topological space, some sets are not closed sets, but they display some characteristics of clsed sets on some stratiform, if is so-called stratiform closed set.

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