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Fuzzy \(r\)-continuous and fuzzy \(r\)-semicontinuous maps - MaRDI portal

Fuzzy \(r\)-continuous and fuzzy \(r\)-semicontinuous maps (Q1599706)

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scientific article; zbMATH DE number 1751231
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Fuzzy \(r\)-continuous and fuzzy \(r\)-semicontinuous maps
scientific article; zbMATH DE number 1751231

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    Fuzzy \(r\)-continuous and fuzzy \(r\)-semicontinuous maps (English)
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    11 February 2003
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    Summary: We introduce a new notion of fuzzy \(r\)-interior which is an extension of Chang's fuzzy interior. Using fuzzy \(r\)-interior, we define fuzzy \(r\)-semiopen sets and fuzzy \(r\)-semicontinuous maps which are generalizations of fuzzy semiopen sets and fuzzy semicontinuous maps in Chang's fuzzy topology, respectively. Some basic properties of fuzzy \(r\)-semiopen sets and fuzzy \(r\)-semicontinuous maps are investigated.
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