Clarifying Soft Semi-Separation Axioms Using the Concept of Soft Element

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dc.authoridEnginoglu, Serdar/0000-0002-7188-9893
dc.authoridAydin, Tugce/0000-0002-8134-1004
dc.contributor.authorAydin, Tugce
dc.contributor.authorEnginoglu, Serdar
dc.contributor.authorMollaogullari, Ahmet
dc.date.accessioned2025-01-27T21:02:13Z
dc.date.available2025-01-27T21:02:13Z
dc.date.issued2023
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractRecently, 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.
dc.description.sponsorshipOffice of Scientific Research Projects Coordination at Canakkale Onsekiz Mart University [FHD-2020-3424]
dc.description.sponsorshipThis work was supported by the Office of Scientific Research Projects Coordination at Canakkale Onsekiz Mart University, Grant Number: FHD-2020-3424.
dc.identifier.doi10.1142/S1793005723500023
dc.identifier.endpage130
dc.identifier.issn1793-0057
dc.identifier.issn1793-7027
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85128562561
dc.identifier.scopusqualityQ3
dc.identifier.startpage105
dc.identifier.urihttps://doi.org/10.1142/S1793005723500023
dc.identifier.urihttps://hdl.handle.net/20.500.12428/27312
dc.identifier.volume19
dc.identifier.wosWOS:000850282300003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofNew Mathematics and Natural Computation
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectSoft sets
dc.subjectsoft topology
dc.subjectsoft element
dc.subjectsoft semi-open sets
dc.subjectsoft semi-separation axioms
dc.titleClarifying Soft Semi-Separation Axioms Using the Concept of Soft Element
dc.typeArticle

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