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Fuzzy boundary and fuzzy semiboundary - MaRDI portal

Fuzzy boundary and fuzzy semiboundary (Q981834)

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scientific article; zbMATH DE number 5734335
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Fuzzy boundary and fuzzy semiboundary
scientific article; zbMATH DE number 5734335

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    Fuzzy boundary and fuzzy semiboundary (English)
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    9 July 2010
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    Summary: We present several properties of fuzzy boundary and fuzzy semiboundary, which have been supported by examples. Properties of fuzzy semi-interior, fuzzy semiclosure, fuzzy boundary, and fuzzy semiboundary are obtained in product-related spaces. We give necessary conditions for fuzzy continuous (resp., fuzzy semicontinuous, fuzzy irresolute) functions. Moreover, fuzzy continuous (resp., fuzzy semicontinuous, fuzzy irresolute) functions are characterized via fuzzy-derived (resp., fuzzy-semiderived) sets.
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