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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 2

?-separation axioms based on Lukasiewicz logic

O. R. SAYED
Sayfa
259–277
Yayın Tarihi
2022-10-18
DOI
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Moreover, we clarify the relationsof these axioms with each other as well as the relations with otherfuzzifying separation axioms.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, we introduce topological notions defined by meansof ?-open sets when these are planted into the framework of Ying'sfuzzifying topological spaces (by Lukasiewicz logic in [0, 1]).
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Temel Bulgular & Veri:We introduce T?-, T?1-, T?2(?- Hausdorff)-, T?3(?-regular)- and T?(?normal)-separation axioms.
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Sonuç & Katkı:Moreover, we clarify the relationsof these axioms with each other as well as the relations with otherfuzzifying separation axioms.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In the present paper, we introduce topological notions defined by meansof ?-open sets when these are planted into the framework of Ying'sfuzzifying topological spaces (by Lukasiewicz logic in [0, 1]). We introduce T?-, T?1-, T?2(?- Hausdorff)-, T?3(?-regular)- and T?(?normal)-separation axioms. Furthermore, the R0- and R?- separation axioms are studied and their relations with the T?1- and T?2-separation axioms are introduced. Moreover, we clarify the relationsof these axioms with each other as well as the relations with otherfuzzifying separation axioms.

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Bu Makaleye Atıf Yap

SAYED, O. R. (2022). ?-separation axioms based on Lukasiewicz logic. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 2, 259–277. https://ajindex.com/articles/530365

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Kaynakça (14)

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