Generating fuzzy topologies with semi-closure operators

DOI10.1016/S0165-0114(83)80027-XzbMath0518.54009MaRDI QIDQ1054022

Albert J. Klein

Publication date: 1983

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

zbMATH Keywords

L-fuzzy topological spaceL-fuzzy real linealpha- closureclosed class of fuzzy topologies under supremafuzzy unit intervalsemi-closure operators

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Fuzzy topology (54A40)

Related Items

Fuzzy topologies with specified level properties, Category theoretic aspects of chain-valued frames. I: Categorical and presheaf theoretic foundations, A theory of fuzzy uniformities with applications to the fuzzy real lines, Pseudo-closure operators in fuzzy topological spaces, Dynamic topologies and their applications to crisp topologies, fuzzifications of crisp topologies, and fuzzy topologies on the crisp real line, A categorical accommodation of various notions of fuzzy topology, Basic structures of fuzzy topology, Applications of localic separation axioms, compactness axioms, representations, and compactifications to poslat topological spaces, Canonical form of a transitive fuzzy matrix, Generalizing the L-fuzzy unit interval, Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines, Fuzzy cores and their extensions, The categorical topology approach to fuzzy topology and fuzzy convergence, Mathematics and fuzziness, some personal reflections

Cites Work

• Unnamed Item
• The Hausdorff separation axiom for fuzzy topological spaces
• alpha-closure in fuzzy topology
• Normality in fuzzy topological spaces
• Fuzzy topological spaces and fuzzy compactness
• Compactness in fuzzy topological spaces
• Neighborhoods, bases and continuity in fuzzy topological spaces
• The fuzzy Tychonoff theorem
• Fuzzy topological spaces