Gradation of continuity for mappings between L-soft topological spaces
Yıl: 2022 Cilt: 12 Sayı: 3 Sayfa Aralığı: 781 - 792 Metin Dili: İngilizce DOI: 10.17714/gumusfenbil.847795 İndeks Tarihi: 08-08-2023
Gradation of continuity for mappings between L-soft topological spaces
Öz: In this article, we aim to present the degrees of continuity, closedness and openness for a soft mapping which is defined between L-soft topological spaces, where L is a complete DeMorgan algebra. We propose the gradation of continuity for a soft mapping with the help of the soft closure operators and by considering the fuzzy soft inclusion which depends on the lattice implication. We also observe many characterizations and properties of the degree of the continuity. Then, we present the degree of openness for a soft mapping with help of the soft interior operators. At the end, we investigate the relations among the proposed concepts; the degree of continuity, closedness and openness in a natural way.
Anahtar Kelime: L-esnek topolojik uzaylar arasındaki dönüşümler için sürekliliğin derecelendirmesi
Öz: Bu çalışmada, L bir tam DeMorgan cebiri olmak üzere, L-esnek topolojik uzaylar arasında tanımlanan esnek dönüşümler için süreklilik, kapalılık ve açıklığın derecelendirmesini sunmayı amaçladık. Esnek kapanış operatörleri yardımıyla ve kafes gerektirme işlemine dayanan bulanık esnek içerme bağıntısının da dikkate alınmasıyla esnek bir dönüşüm için sürekliliğin derecelendirmesini ifade ettik. Ayrıca sürekliliğin bu derecelendirmesinin birçok karakterizasyonunu ve özelliğini gözlemledik. Daha sonra, esnek iç operatörlerinin yardımıyla esnek dönüşümler için açıklığın derecelendirmesini verdik. En sonunda, ifade edilen yapılar olan sürekliliğin, kapalılığın ve açıklığın derecelendirmeleri arasındaki ilişkileri doğal bir yolla inceledik.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Çetkin V (2022). Gradation of continuity for mappings between L-soft topological spaces. , 781 - 792. 10.17714/gumusfenbil.847795 |
| Chicago | Çetkin Vildan Gradation of continuity for mappings between L-soft topological spaces. (2022): 781 - 792. 10.17714/gumusfenbil.847795 |
| MLA | Çetkin Vildan Gradation of continuity for mappings between L-soft topological spaces. , 2022, ss.781 - 792. 10.17714/gumusfenbil.847795 |
| AMA | Çetkin V Gradation of continuity for mappings between L-soft topological spaces. . 2022; 781 - 792. 10.17714/gumusfenbil.847795 |
| Vancouver | Çetkin V Gradation of continuity for mappings between L-soft topological spaces. . 2022; 781 - 792. 10.17714/gumusfenbil.847795 |
| IEEE | Çetkin V "Gradation of continuity for mappings between L-soft topological spaces." , ss.781 - 792, 2022. 10.17714/gumusfenbil.847795 |
| ISNAD | Çetkin, Vildan. "Gradation of continuity for mappings between L-soft topological spaces". (2022), 781-792. https://doi.org/10.17714/gumusfenbil.847795 |
| APA | Çetkin V (2022). Gradation of continuity for mappings between L-soft topological spaces. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 12(3), 781 - 792. 10.17714/gumusfenbil.847795 |
| Chicago | Çetkin Vildan Gradation of continuity for mappings between L-soft topological spaces. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 12, no.3 (2022): 781 - 792. 10.17714/gumusfenbil.847795 |
| MLA | Çetkin Vildan Gradation of continuity for mappings between L-soft topological spaces. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, vol.12, no.3, 2022, ss.781 - 792. 10.17714/gumusfenbil.847795 |
| AMA | Çetkin V Gradation of continuity for mappings between L-soft topological spaces. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2022; 12(3): 781 - 792. 10.17714/gumusfenbil.847795 |
| Vancouver | Çetkin V Gradation of continuity for mappings between L-soft topological spaces. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2022; 12(3): 781 - 792. 10.17714/gumusfenbil.847795 |
| IEEE | Çetkin V "Gradation of continuity for mappings between L-soft topological spaces." Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 12, ss.781 - 792, 2022. 10.17714/gumusfenbil.847795 |
| ISNAD | Çetkin, Vildan. "Gradation of continuity for mappings between L-soft topological spaces". Gümüşhane Üniversitesi Fen Bilimleri Dergisi 12/3 (2022), 781-792. https://doi.org/10.17714/gumusfenbil.847795 |
