Fuzzy Closure Operators
Copyright policy )Fuzzy Closure Operators
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.
- University of Ostrava Czech Republic
fuzzy closure system, almost closed fuzzy set, subsethood degree, Fuzzy topology, Applied Mathematics, Topological spaces and generalizations (closure spaces, etc.), Galois correspondences, closure operators (in relation to ordered sets), Theory of fuzzy sets, etc., Analysis, Galois connection
fuzzy closure system, almost closed fuzzy set, subsethood degree, Fuzzy topology, Applied Mathematics, Topological spaces and generalizations (closure spaces, etc.), Galois correspondences, closure operators (in relation to ordered sets), Theory of fuzzy sets, etc., Analysis, Galois connection
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