An embedding theorem for fuzzy numbers on Banach spaces and its applications (Q698803)
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scientific article; zbMATH DE number 1809978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An embedding theorem for fuzzy numbers on Banach spaces and its applications |
scientific article; zbMATH DE number 1809978 |
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An embedding theorem for fuzzy numbers on Banach spaces and its applications (English)
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30 September 2002
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Sumamry: We give an embedding theorem for fuzzy number space \(\mathbb{N}(X)\) on a Banach space \(X\). As its applications, we show that some measurability concepts for fuzzy number valued mappings are equivalent, which partially solves an open problem given by \textit{D. Butnariu} [Fuzzy Sets Syst. 31, 77-82 (1989; Zbl 0664.28011)]. Additionally, we generalize some convergence theorems and Lusin Theorem to fuzzy random variables.
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Lusin theorem
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fuzzy number space
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fuzzy random variables
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