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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 54 Issue: 1

Fuzzifying bornivorous sets of fuzzifying bornological linear spaces

Zhen-yu Jin(Suzhou University of Science and Technology)
C. H. Yan(Nanjing Normal University)0000-0002-6500-7807
Pages
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Publication Date
2025-02-28
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AI Summary & Key Takeaways

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

The fuzzifying topological space induced by fuzzifying open sets is also discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of this paper is to introduce a notion of fuzzifying bornivorous sets of fuzzifying bornological linear spaces.
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Key Findings & Data:In particular, we provide an example of fuzzifying bornivorous sets on a fuzzifying topological linear space with its von Neumann bornology.
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Conclusion & Impact:The fuzzifying topological space induced by fuzzifying open sets is also discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:fuzzifying bornivorous set · fuzzifying bornological linear space · fuzzifying open set

Abstract

The main purpose of this paper is to introduce a notion of fuzzifying bornivorous sets of fuzzifying bornological linear spaces. In particular, we provide an example of fuzzifying bornivorous sets on a fuzzifying topological linear space with its von Neumann bornology. Furthermore, the description of fuzzifying open sets of fuzzifying bornological linear spaces is showed and its equivalent illustration is discussed as well. In addition, we study the dual relationship of fuzzifying open and close sets. The fuzzifying topological space induced by fuzzifying open sets is also discussed.

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Cite This Article

Jin, Z., Yan, C. H. (2025). Fuzzifying bornivorous sets of fuzzifying bornological linear spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 54 Issue: 1. https://doi.org/10.15672/hujms.1264856

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