Sequential compactness in fuzzy neighbourhood spaces (Q1319444)
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scientific article; zbMATH DE number 550091
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sequential compactness in fuzzy neighbourhood spaces |
scientific article; zbMATH DE number 550091 |
Statements
Sequential compactness in fuzzy neighbourhood spaces (English)
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19 April 1994
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In fuzzy neighborhood spaces (fns) [\textit{R. Lowen}, ibid. 7, 165-189 (1982; Zbl 0487.54008)], \textit{A. F. M. Khodadad Khan} and the reviewer [ibid. 46, 115-120 (1992; Zbl 0759.54005)] introduced the concepts of sequential convergence and the first axiom of countability. Following these two concepts the present author introduces the notions of \(N\)- compactness and \(N\)-sequential compactness in fns. It is demonstrated that the notion of \(N\)-sequential compactness is a good extension. A few basic related results are achieved.
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sequential compactness
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\(N\)-compactness
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\(N\)-sequential compactness
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good extension
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