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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 54 Issue: 3

Mackey convergence and separation in $(L, M)$-fuzzy bornological vector spaces

Yu Shen(Nanjing normal university)0009-0002-9808-9404
C. H. Yan(Nanjing Normal University)0000-0002-6500-7807
Sayfa
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Yayın Tarihi
2025-06-24
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the paper analyzes the properties of functors $\omega$ and $\iota$ between $M$-fuzzifying bornological vector spaces and $(L, M)$-fuzzy bornological vector spaces in terms of Mackey convergence degree and separation degree.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper aims to introduce the concepts of Mackey convergence degree for sequences and separation degree for spaces in $(L, M)$-fuzzy bornological vector spaces.
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Temel Bulgular & Veri:Furthermore, the paper examines the degree relationships among a Mackey convergence sequence, a separated space, and a bornologically closed fuzzy set.
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Sonuç & Katkı:Finally, the paper analyzes the properties of functors $\omega$ and $\iota$ between $M$-fuzzifying bornological vector spaces and $(L, M)$-fuzzy bornological vector spaces in terms of Mackey convergence degree and separation degree.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:M)-fuzzy bornological vector spaces · Mackey convergence · separation

Abstract

This paper aims to introduce the concepts of Mackey convergence degree for sequences and separation degree for spaces in $(L, M)$-fuzzy bornological vector spaces. Additionally, the paper presents the concept of bornological closure degree for fuzzy sets. Moreover, the paper discusses various characteristics of these concepts. Furthermore, the paper examines the degree relationships among a Mackey convergence sequence, a separated space, and a bornologically closed fuzzy set. Finally, the paper analyzes the properties of functors $\omega$ and $\iota$ between $M$-fuzzifying bornological vector spaces and $(L, M)$-fuzzy bornological vector spaces in terms of Mackey convergence degree and separation degree.

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Bu Makaleye Atıf Yap

Shen, Y., Yan, C. H. (2025). Mackey convergence and separation in $(L, M)$-fuzzy bornological vector spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 54 Issue: 3. https://doi.org/10.15672/hujms.1482251

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