Sequential definitions of fuzzy continuity in fuzzy spaces
3rd International Conference of Mathematical Sciences, ICMS 2019, İstanbul, Türkiye, 4 - 08 Eylül 2019, cilt.2183, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 2183
- Doi Numarası: 10.1063/1.5136120
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Anahtar Kelimeler: Fuzzy points, G-fuzzy convergence, G-fuzzy sequential closedness, G-fuzzy sequential continuity
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Maltepe Üniversitesi Adresli: Evet
Özet
Çakalli extended the concept of G-sequential compactness to a fuzzy topological group and introduced the notion of G-fuzzy sequential compactness, where G is a function from a suitable subset of the set of all sequences of fuzzy points in a fuzzy first countable topological space X. The aim of this paper is to investigate whether an idea like the G-fuzzy continuity can be introduced and consequently can be extended to a more general approach to fuzzy continuity in fuzzy topological spaces. In this article, we introduce the concepts of G-fuzzy sequential continuity and G-fuzzy sequential closedness in a fuzzy topological space and give some characterization theorems.