The aim of this paper is to investigate the relations among the L-fuzzy pre-proximities, L-fuzzy closure operators and L-fuzzy co-topologies in complete residuated lattices. We show that there is a Galois correspondence between the category of separated L-fuzzy closure spaces and that of separated L-fuzzy pre-proximity spaces and we give their examples.

中文翻译：

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关于L模糊闭包运算符和L模糊预邻近

本文的目的是研究完全残差格中L-模糊前邻近度，L-模糊闭合算符和L-模糊共拓扑之间的关系。我们证明了在分离的L-模糊封闭空间和分离的L-模糊前邻近空间的类别之间存在伽罗瓦对应关系，并给出了它们的例子。