Equivalence among some neighborhood structures in fuzzy topology (Q2368508)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalence among some neighborhood structures in fuzzy topology |
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Equivalence among some neighborhood structures in fuzzy topology (English)
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19 April 2006
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The author introduces three notions of membership of a fuzzy point to a fuzzy set and the corresponding notions of neighborhood in the context of Šostak fuzzy topological spaces. He shows that these three neighborhood structures are equivalent and characterize fuzzy topological spaces and continuity of maps between fuzzy topological spaces.
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fuzzy (pre)topology
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fuzzy point
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quasi-coincident
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fuzzy \(k\)-neighborhood
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\(m\)-neighborhood
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\(q\)-neighborhood
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continuity
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