Journals / Hacettepe Journal of Mathematics and Statistics / 2005 / Cilt: 34 - Sayı: supp

On Lowen's compactness in fuzzy closure spaces

Pages
7–13
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We obtain some equivalent characterizations of these notions and some implications.

📌 3 Key Takeaways

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Objective & Hypothesis:In this note, we extend Lowen's notion of fuzzy compactness to fuzzy closure spaces and introduce some weak forms of compactness, namely almost compactness, near compactness, countable compactness and light compactness in fuzzy closure spaces.
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Key Findings & Data:In this note, we extend Lowen's notion of fuzzy compactness to fuzzy closure spaces and introduce some weak forms of compactness, namely almost compactness, near compactness, countable compactness and light compactness in fuzzy closure spaces.
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Conclusion & Impact:We obtain some equivalent characterizations of these notions and some implications.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this note, we extend Lowen's notion of fuzzy compactness to fuzzy closure spaces and introduce some weak forms of compactness, namely almost compactness, near compactness, countable compactness and light compactness in fuzzy closure spaces. We obtain some equivalent characterizations of these notions and some implications.

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Cite This Article

BÜLBÜL, A. (2022). On Lowen's compactness in fuzzy closure spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 34 - Sayı: supp, 7–13. https://ajindex.com/articles/530796

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References (1)

  1. Bülbül, A. A note on Lo-fuzzy nearly compact spaces, Fuzzy Sets and Systems 93, 235-239, 1998. 2.Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182-190, 1968. 3.Çoker, D. and Eş, A. H. A note on fuzzy closure spaces, J. Fac. Sci., Ege Univ., Series A 11 (1), 11-17, 1988. 4.Lowen, R. A comparation of different compactness notions in fuzzy topological spaces, J. Math. Anal. Appl. 64, 446-454, 1978. 5.Mashhour, A. S. and Ghanim, M. H. Fuzzy closure spaces, J. Math. Anal. Appl. 106, 154-170,1985.