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.
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.
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.
引入了一般L -拓扑空间中的近ps -紧性概念，它是介于模糊紧性与PS -紧性之间的一种新的紧性。
The concept of near PS-compactness in L-topological Spaces is introduced. It is a kind of new compactness between fuzzy compactness and PS-compactness.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
The concept of closed fuzzy set is introduced in topological linear space. It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
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