Recently, fuzzy systems have become one of the hottest topics due to their applications in the area of computer science. Therefore, in this article, we are making efforts to add new useful relationships between the selected L-fuzzy (fuzzifying) systems. In particular, we establish relationships between L-fuzzy (fuzzifying) Čech closure spaces, L-fuzzy (fuzzifying) co-topological spaces and L-fuzzy (fuzzifying) approximation spaces based on reflexive L-fuzzy relations. We also show that there is a Galois correspondence between the categories of these spaces.

中文翻译：

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L-FuzzyCéech封闭空间和L-Fuzzy共拓扑空间的类别

最近，由于模糊系统在计算机科学领域的应用，它们已成为最热门的主题之一。因此，在本文中，我们正在努力在选定的L模糊（模糊）系统之间添加新的有用关系。尤其是，我们基于自反L模糊关系建立L模糊（模糊）Čech封闭空间，L模糊（模糊）共拓扑空间和L模糊（模糊）近似空间之间的关系。我们还表明，这些空间的类别之间存在伽罗瓦对应关系。