Disjoint union of fuzzy soft topological spaces

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dc.authorid0000-0002-3373-8699en_US
dc.contributor.authorAtay, Arife
dc.date.accessioned2023-10-17T10:36:48Z
dc.date.available2023-10-17T10:36:48Z
dc.date.issued2023en_US
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this work, sums of fuzzy soft topological spaces are defined with free union of a pairwise disjoint non-empty family of fuzzy soft topological spaces. Firstly, we give general information of fuzzy soft topological spaces. Then, we define free union of fuzzy soft topological spaces and disjoint union topology of fuzzy soft topological spaces. We call the free union of a pairwise disjoint non-empty family of fuzzy soft topological spaces the sum of fuzzy soft topological spaces. We show what are the interchangeable properties between fuzzy soft topological spaces and the sum of fuzzy soft topological spaces. For example, there are fuzzy soft interior, fuzzy soft closure, fuzzy soft limit points. Also, we provide some properties showing the relationships between fuzzy soft topological spaces and their sums. Some of these are fuzzy soft base, fuzzy soft sequences, fuzzy soft connected-disconnected, fuzzy soft compact spaces. Also, part of the research for this article is work on fuzzy soft convergence on fuzzy soft topological sum. With this paper, some results, theorems and definitions for fuzzy soft topological sum have been acquired with the help of results, theorems and definitions given in previous studies about fuzzy soft topological spaces.en_US
dc.identifier.citationAtay, A. (2023). Disjoint union of fuzzy soft topological spaces. AIMS Mathematics, 8(5), 10547-10557.en_US
dc.identifier.doi10.3934/math.2023535
dc.identifier.endpage10557en_US
dc.identifier.issn2473-6988
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85149200775
dc.identifier.scopusqualityQ1
dc.identifier.startpage10547en_US
dc.identifier.urihttp://www.aimspress.com/article/doi/10.3934/math.2023535
dc.identifier.urihttps://hdl.handle.net/11468/12823
dc.identifier.volume8en_US
dc.identifier.wosWOS:000946700900004
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAtay, Arife
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofAIMS Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFuzzy setsen_US
dc.subjectFuzzy soft setsen_US
dc.subjectSoft setsen_US
dc.subjectSum of soft topological spacesen_US
dc.subjectSum of topological spacesen_US
dc.titleDisjoint union of fuzzy soft topological spacesen_US
dc.titleDisjoint union of fuzzy soft topological spaces
dc.typeArticleen_US

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