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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 2

Fuzzifying pseudo-quasi-metric topologies on the fuzzy real line

Fu-gui Shi(Beijing Institute of Technology)0000-0001-8090-3872
Pages
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Publication Date
2024-04-23
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AI Summary & Key Takeaways

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

A fuzzifying pseudo-metrics can be regarded as a weak form of a KM fuzzy metric.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, three natural fuzzifying topologies are presented on the fuzzy real line.
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Key Findings & Data:Then the notion of fuzzifying pseudo-quasi-metrics is introduced.
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Conclusion & Impact:A fuzzifying pseudo-metrics can be regarded as a weak form of a KM fuzzy metric.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:fuzzy real line · fuzzifying topology · fuzzifying pseudo-quasi-metric

Abstract

In this paper, three natural fuzzifying topologies are presented on the fuzzy real line. Then the notion of fuzzifying pseudo-quasi-metrics is introduced. It is proved that the three fuzzifying topologies can be induced respectively by three fuzzifying pseudo-quasi-metrics. Our definition of fuzzifying pseudo-metric is slightly different from that of KM-fuzzy metric. A fuzzifying pseudo-metrics can be regarded as a weak form of a KM fuzzy metric.

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Cite This Article

Shi, F. (2024). Fuzzifying pseudo-quasi-metric topologies on the fuzzy real line. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 2. https://doi.org/10.15672/hujms.1209995

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