Öz
Proje Numarası
NO. 12071225
Kaynakça
- [1] M. Abel and A. Šostak, Towards the theory of L-bornological spaces, Iranian Journal of Fuzzy Systems, 8(1), 19–28, 2011
Öz
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.
Anahtar Kelimeler
Mackey convergence separation $M$-fuzzifying bornological vector spaces (L M)-fuzzy bornological vector spaces
Etik Beyan
The authors declares that he has no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Destekleyen Kurum
The National Natural Science Foundation of China
Proje Numarası
NO. 12071225
Kaynakça
- [1] M. Abel and A. Šostak, Towards the theory of L-bornological spaces, Iranian Journal of Fuzzy Systems, 8(1), 19–28, 2011
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Topoloji |
| Bölüm | Matematik |
| Yazarlar | |
| Proje Numarası | NO. 12071225 |
| Erken Görünüm Tarihi | 27 Ağustos 2024 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 11 Mayıs 2024 |
| Kabul Tarihi | 19 Temmuz 2024 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |