The relationships between L -fuzzy topogenous orders and topological structures
Ju-Mok Oh, Yong Chan Kim · Journal of Intelligent & Fuzzy Systems · 2017
In this paper, we introduce the notions of L -fuzzy topogenous orders, L -fuzzy topology, L -interior operators and L -closure operators in complete residuated lattices. Moreover, we investigate the relations among L -fuzzy topogenous orders, L -interior operators and L -closure operators. We show that there is a Galois correspondence between the category of separated L -fuzzy interior (resp. closure) spaces and that of separated L -fuzzy topogenous (resp. cotopogenous) spaces.