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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 2

Completeness of fuzzy quasi-pseudometric spaces

Shi Yi(Nanjing University of Information Science and Technology)0000-0003-1712-9495
Wei Yao(Nanjing University of Information Science and Technology)0000-0003-3320-7609
Pages
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Publication Date
2023-03-31
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AI Summary & Key Takeaways

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

By introducing a kind of more general right K-Cauchy nets in fuzzy quasi-pseudometric spaces, the equivalence between the completeness of the nets and the sequential completeness is established.

📌 3 Key Takeaways

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Objective & Hypothesis:The purpose of this paper is to present the relations among the completeness of sequences, of filters and of nets in the framework of fuzzy quasi-pseudometric spaces.
📊
Key Findings & Data:In particular, we show that right completeness of filters and of sequences are equivalent under special conditions of fuzzy quasi-pseudometrics.
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Conclusion & Impact:By introducing a kind of more general right K-Cauchy nets in fuzzy quasi-pseudometric spaces, the equivalence between the completeness of the nets and the sequential completeness is established.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fuzzy quasi-pseudometric space · Cauchy sequence · Cauchy filter

Abstract

The purpose of this paper is to present the relations among the completeness of sequences, of filters and of nets in the framework of fuzzy quasi-pseudometric spaces. In particular, we show that right completeness of filters and of sequences are equivalent under special conditions of fuzzy quasi-pseudometrics. By introducing a kind of more general right K-Cauchy nets in fuzzy quasi-pseudometric spaces, the equivalence between the completeness of the nets and the sequential completeness is established.

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Cite This Article

Yi, S., Yao, W. (2023). Completeness of fuzzy quasi-pseudometric spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 2. https://doi.org/10.15672/hujms.1082134

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