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\(L\)-fuzzy bi-closure systems and \(L\)-fuzzy bi-closure operators. (English) Zbl 1477.06042

Summary: In this paper, we introduced the notions of right and left closure systems on generalized residuated lattices. In particular, we study the relations between right (left) closure (interior) operators and right (left) closure (interior) systems. We give their examples.

MSC:

06D72 Fuzzy lattices (soft algebras) and related topics
03E72 Theory of fuzzy sets, etc.
03G10 Logical aspects of lattices and related structures
06A15 Galois correspondences, closure operators (in relation to ordered sets)
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