Investigating Concepts in Soft Topological Structures through Subspaces

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dc.authorid0000-0002-8134-1004
dc.authorid0000-0002-1724-8841
dc.contributor.authorArslan, Burak
dc.contributor.authorAydin, Tugce
dc.date.accessioned2026-02-03T12:00:42Z
dc.date.available2026-02-03T12:00:42Z
dc.date.issued2025
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractFollowing the study of Molodtsov on soft topological structures in 2015, this study discusses the concepts in soft topological structures through subspaces, investigates some of their crucial properties, and provides their characterizations. To ensure consistency with Molodtsov's framework, this paper defines the tau-neighborhood in a subspace S subset of X of any x is an element of S as tau(x) boolean AND S, noting that his definition of the tau-neighborhood in X of any x is an element of X is tau(x), which equals tau(x) boolean AND X. Moreover, this study researches some of the relations between concepts in a space and their correspondences in subspaces. Besides, it explores whether being tau-C-, tau-T-, tau-B-, and tau-I-soft discrete and indiscrete topologies is hereditary or not. Finally, this study handles if further research concerning these aspects is needed.
dc.identifier.doi10.1142/S1793005727500013
dc.identifier.issn1793-0057
dc.identifier.issn1793-7027
dc.identifier.scopus2-s2.0-105008534757
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1142/S1793005727500013
dc.identifier.urihttps://hdl.handle.net/20.500.12428/34667
dc.identifier.wosWOS:001512147000001
dc.identifier.wosqualityQ3
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.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260130
dc.subjectSoft sets
dc.subjectproximity mappings
dc.subjecttau-C- and tau-T-closed sets
dc.subjecttau-B- and tau-I-open sets
dc.subjecttau-C- and tau-T-soft subspace topologies
dc.subjecttau-B- and tau-I-soft subspace topologies
dc.titleInvestigating Concepts in Soft Topological Structures through Subspaces
dc.typeArticle

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