## Alexandrov $$L$$-topologies.(English)Zbl 1337.03080

Summary: We introduce upper and lower approximation operators as a generalization of fuzzy rough set in complete residuated lattices. We investigate relations between their operations and Alexandrov $$L$$-topologies.

### MSC:

 03E72 Theory of fuzzy sets, etc. 06A15 Galois correspondences, closure operators (in relation to ordered sets) 06F05 Ordered semigroups and monoids 54A40 Fuzzy topology
Full Text: