Inductive topologies of \(L\)-fuzzy topological vector spaces (Q2744265)
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scientific article; zbMATH DE number 1648865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inductive topologies of \(L\)-fuzzy topological vector spaces |
scientific article; zbMATH DE number 1648865 |
Statements
27 October 2002
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\(L\)-fuzzy linear order-homomorphism
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\(L\)-ftvs
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\(L\)-fctvs
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inductive \(L\)-fuzzy topology
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\(L\)-fuzzy topological vector spaces
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0.9608114
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0.93757737
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0.9360338
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0.9292625
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0.9254277
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0.9218255
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0.9121959
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Inductive topologies of \(L\)-fuzzy topological vector spaces (English)
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By using the theory of \(L\)-fuzzy topological vector spaces, the author obtained some properties of \(L\)-fuzzy inductive topologies determined by a family of \(L\)-fuzzy linear order-homomorphisms of \(L\)-ftvs and a characterization of inductive topologies determined by a single FLOH. As an application, the author proved that quotient space of of \(L\)-ftvs is also \(L\)-ftvs.
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