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The Y-Compactness in L-Fuzzy Topological Spaces

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Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

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Abstract

In this paper, we introduce the Y-compactness in L-fuzzy topological spaces. It possesses the following properties: (1) Y-compactness is hereditary for Y-closed subsets, (2) Y-compactness is preserved under Y-irresolute mapping. (3) Every set with finite support is Y-compactness. The Y-compactness is defined for arbitrary L-fuzzy subsets. It is described with α-net, α-filter, r-Y-cover form and r  + -finite intersection property.

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© 2009 Springer-Verlag Berlin Heidelberg

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Wang, Yh., Bai, Sz. (2009). The Y-Compactness in L-Fuzzy Topological Spaces. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_41

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

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