Generalization of Kolmogoroff's theorem to \(L\)-topological vector spaces

DOI10.1016/S0165-0114(01)00045-8zbMath1021.46058MaRDI QIDQ1349217

Jin-Xuan Fang, Cong-Hua Yan

Publication date: 21 May 2002

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

zbMATH Keywords

\(L\)-topological vector space\(L\)-fuzzy normed linear spacebounded \(L\)-fuzzy setconvex \(L\)-fuzzy set

Mathematics Subject Classification ID

Fuzzy functional analysis (46S40)

Related Items (12)

The uniform boundedness principle in \(L\)-topological vector spaces ⋮ A note on locally bounded \(L\)-topological vector spaces ⋮ Local convexity and local boundedness of induced \(I(L)\)-topological vector spaces ⋮ I-topologies generated by probabilistic norms1 ⋮ Generalized locally bounded \(L\)-topological vector spaces ⋮ \(L\)-topological vector spaces and families of \(L\)-fuzzy pseudo-norms ⋮ Locally bounded \(L\)-topological vector spaces. ⋮ Some topological properties of \(L\)-fuzzy normed spaces ⋮ Generalized normability theorem for \(L\)-topological vector spaces ⋮ \(I(L)\)-topological vector spaces and its level topological spaces ⋮ New definition of locally convex L-topological vector spaces ⋮ On \(I(L)\)-topological vector spaces generated by a co-tower of \(L\)-topological vector spaces

Cites Work

• Structures of fuzzy order homomorphisms
• Fuzzy topological vector spaces. I
• Theory of topological molecular lattices
• Fuzzy topological spaces and fuzzy compactness
• Initial \(L\)-fuzzy topologies determined by the family of \(L\)-fuzzy linear order-homomorphisms
• L-fuzzy sets
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