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Categories of fuzzy preorders, approximation operators and Alexandrov topologies. (English) Zbl 1366.18004

Summary: In this paper, we investigate categories of fuzzy preorders, approximating operators and Alexandrov topologies in complete residuated lattices. In fact, categories of fuzzy preorders, approximating operators and Alexandrov topologies are isomorphic. We give their examples.

MSC:

18B35 Preorders, orders, domains and lattices (viewed as categories)
18B30 Categories of topological spaces and continuous mappings (MSC2010)
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