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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 54 Issue: 4

$M$-fuzzifying convexity-preserving mappings and $M$-fuzzifying closure-preserving mappings

Fei Li(College of Science, Beijing Forestry University)0009-0002-5512-8215
Manyu Cui(College of Science, Beijing Forestry University)0009-0004-4434-8532
Sayfa
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Yayın Tarihi
2025-08-29
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Moreover, it is proved that $S_0$, $S_1$ and $S_2$ separation properties are preserved by homeomorphisms in $M$-fuzzifying convergence spaces.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, $M$-fuzzifying convexity-preserving mappings between $M$-fuzzifying convergence spaces, and $M$-fuzzifying closure-preserving mappings between $M$-fuzzifying preconvex closure spaces are proposed.
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Temel Bulgular & Veri:The relationships of $M$-fuzzifying convexity-preserving mappings with $M$-CP mappings, $M$-fuzzifying preconvex closure operators, and separation properties in $M$-fuzzifying convergence spaces are discussed.
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Sonuç & Katkı:Moreover, it is proved that $S_0$, $S_1$ and $S_2$ separation properties are preserved by homeomorphisms in $M$-fuzzifying convergence spaces.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:M-fuzzifying convergence space · M-fuzzifying convexity-preserving mapping · M-fuzzifying preconvex closure space

Abstract

In this paper, $M$-fuzzifying convexity-preserving mappings between $M$-fuzzifying convergence spaces, and $M$-fuzzifying closure-preserving mappings between $M$-fuzzifying preconvex closure spaces are proposed. The relationships of $M$-fuzzifying convexity-preserving mappings with $M$-CP mappings, $M$-fuzzifying preconvex closure operators, and separation properties in $M$-fuzzifying convergence spaces are discussed. Moreover, it is proved that $S_0$, $S_1$ and $S_2$ separation properties are preserved by homeomorphisms in $M$-fuzzifying convergence spaces.

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Bu Makaleye Atıf Yap

Li, F., Cui, M. (2025). $M$-fuzzifying convexity-preserving mappings and $M$-fuzzifying closure-preserving mappings. Hacettepe Journal of Mathematics and Statistics, Volume: 54 Issue: 4. https://doi.org/10.15672/hujms.1574594

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