Dergiler / Maltepe Journal of Mathematics / 2024 / Volume: 6 Issue: 2

ON A WEAK FORM OF SEMI-OPEN FUNCTION BY NEUTROSOPHICATION

Ahu Açıkgöz(BALIKESİR ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0003-1468-8240
Ferhat Esenbel(BALIKESİR ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)0000-0001-5581-3621
Sayfa
—
Yayın Tarihi
2024-11-08
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition to these, the relations between the types of open sets, which we have brought different perspectives, with the continuity and function types that we reinterpreted in neutrosophic topology, are examined and these relations are clarified by giving examples and counterexamples.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, a new perspective in neutrosophic topology is brought to some open set definitions in general topology and previously interpreted in different ways in some other non-standard topological spaces.
📊
Temel Bulgular & Veri:Then, some types of functions and continuity are introduced using these new open sets.
💡
Sonuç & Katkı:In addition to these, the relations between the types of open sets, which we have brought different perspectives, with the continuity and function types that we reinterpreted in neutrosophic topology, are examined and these relations are clarified by giving examples and counterexamples.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Neutrosophic semiopen set · Neutrosophic regular open set · Neutrosophic $\beta$-open set

Abstract

In this study, a new perspective in neutrosophic topology is brought to some open set definitions in general topology and previously interpreted in different ways in some other non-standard topological spaces. Then, some types of functions and continuity are introduced using these new open sets. In addition to these, the relations between the types of open sets, which we have brought different perspectives, with the continuity and function types that we reinterpreted in neutrosophic topology, are examined and these relations are clarified by giving examples and counterexamples.

🔖

Bu Makaleye Atıf Yap

Açıkgöz, A., Esenbel, F. (2024). ON A WEAK FORM OF SEMI-OPEN FUNCTION BY NEUTROSOPHICATION. Maltepe Journal of Mathematics, Volume: 6 Issue: 2. https://doi.org/10.47087/mjm.1482207

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. A. Acikgoz, H. Cakalli, F. Esenbel, and Lj. D.R. Kočinac, A quest of G-continuity in neutrosophic spaces, Math Meth Appl Sci. 44 (9) (2021) 7834-7844.
  2. A. Acikgoz and F. Esenbel, Neutrosophic Connected topological spaces, Fasciculi Math. 66 (2023) 5-22.
  3. A. Acikgoz and F. Esenbel, Neutrosophic seperation axioms, Maltepe J. Math. 5 (2) (2023) 32-40.
  4. M. Caldas, G. Navalagi and R. Saraf, On Fuzzy Weakly Open Functions, Proyec. 21 (1) (2002) 51-63.
  5. R. Dhavaseelan, S. Jafari, C. Ozel and M. A Al-Shumrani, Generalized neutrosophic contracontinuity, New Trend Neut. Theory Appl. II (2018) 365-380.
  6. S. Nanda, On fuzzy topological spaces, Fuzzy Sets Syst. 19 (1986) 193-197.
  7. J. H. Park, Y. B. Park and J. S. Park, Fuzzy weakly open mappings and fuzzy RS-compact sets, Far East J. Math. Sci. II (1997) 201-212.
  8. D. A. Rose, On weak openness and almost openness, Internt. J. Math. I. Math. Sci. 7 (1984) 35-40.
  9. A. A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR J. Math. 3 (2012) 31–35.
  10. F. Smarandache, Neutrosophic set, A generalisation of the intuitionistic fuzzy sets, Int J Pure Appl Math. 24 (2005) 287-297.