## Fuzzy closure operators.(English)Zbl 0989.54006

For a set $$X$$ and a complete residuated lattice $$L$$, the author introduces and investigates graduated closure operators $$L^X\to L^X$$, closure systems $$\subseteq L^X$$ and systems of “almost closed fuzzy sets” $$L^X\to L$$ in $$X$$. He shows that they characterize each other and studies the relationship to fuzzy Galois connections.

### MSC:

 54A40 Fuzzy topology 06A15 Galois correspondences, closure operators (in relation to ordered sets) 54A05 Topological spaces and generalizations (closure spaces, etc.) 03E72 Theory of fuzzy sets, etc.
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### References:

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