Fuzzy Boundary and Fuzzy Semiboundary

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 have been obtained in product-related spaces. We give necessary conditions for fuzzy continuous (...

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Bibliographic Details
Main Authors: M. Athar, B. Ahmad
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2008/586893
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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 have been 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 have been characterized via fuzzy-derived (resp., fuzzy-semiderived) sets.
ISSN:1687-7101
1687-711X