Clarifying Soft Semi-Separation Axioms Using the Concept of Soft Element
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Recently, soft semi-open sets being a generalization of soft open sets and soft topological notions related to them have been studied. However, these studies have not tackled the concept of soft elements. To this end, we conduct a grounding study on soft semi-open sets and investigate soft topological notions through this concept. We then define soft semi-separation axioms in soft topological spaces on a soft set via soft elements. Moreover, we examine the relationships between these spaces and their subspaces. Afterward, we clarify the theoretical section of the study with presented examples and study the relationships between soft semi-separation axioms and soft separation axioms. Finally, we discuss the study's contributions to the literature and the need for further research.
Açıklama
Anahtar Kelimeler
Soft sets, soft topology, soft element, soft semi-open sets, soft semi-separation axioms
Kaynak
New Mathematics and Natural Computation
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
19
Sayı
1
