Strong base for fuzzy topology (Q2896656)
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scientific article; zbMATH DE number 6056403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong base for fuzzy topology |
scientific article; zbMATH DE number 6056403 |
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16 July 2012
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\(L\)-topology
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strong base
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0.88494253
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0.8811933
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0.8683568
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0.8633093
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Strong base for fuzzy topology (English)
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The authors introduce the following notion of a base of a \(L\)-topology \(\delta\) on a set \(X\). A subset \(\mathcal B\subset \delta\) which has the property NEWLINE\[NEWLINE U\in \delta \Longleftrightarrow (x_\alpha \in U \Rightarrow \exists B\in \mathcal B \text{ with } x_\alpha \in B\subseteq U) NEWLINE\]NEWLINE is called a strong base for \(\delta\). Here \(x_\alpha\) denotes a \(L\)-point on \(X\) (see \textit{Y.-M. Liu} and \textit{M.-K. Luo} [Fuzzy topology. Advances in Fuzzy Systems---Applications and Theory. 9. Singapore: World Scientific Publishing Co. x, 353 p. (1997; Zbl 0906.54006)] for the notions related to fuzzy topology).
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