ON HYPERSPACES OF SOFT SETS

– In this paper first, we introduce the soft sets families( ), ( ) and we investigate basic properties of them. Second, by use these soft families, we introduce some hyperspaces of soft sets, called upper (lower) and Vietoris soft topological space, which defined on classes of soft sets define the u...

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Main Authors: Metin Aktağ, Fethullah Erol
Format: Article
Language:English
Published: Naim Çağman 2015-08-01
Series:Journal of New Theory
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/407485
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author Metin Aktağ
Fethullah Erol
author_facet Metin Aktağ
Fethullah Erol
author_sort Metin Aktağ
collection DOAJ
description – In this paper first, we introduce the soft sets families( ), ( ) and we investigate basic properties of them. Second, by use these soft families, we introduce some hyperspaces of soft sets, called upper (lower) and Vietoris soft topological space, which defined on classes of soft sets define the upper and lower Vietoris continuity of soft multifunction and we give the relationship between Vietoris continuity of soft multifunction and continuity of soft mapping
format Article
id doaj-art-a4bed9966f72407e8a5bf75642719ea8
institution DOAJ
issn 2149-1402
language English
publishDate 2015-08-01
publisher Naim Çağman
record_format Article
series Journal of New Theory
spelling doaj-art-a4bed9966f72407e8a5bf75642719ea82025-08-20T02:45:07ZengNaim ÇağmanJournal of New Theory2149-14022015-08-01786972425ON HYPERSPACES OF SOFT SETSMetin AktağFethullah Erol– In this paper first, we introduce the soft sets families( ), ( ) and we investigate basic properties of them. Second, by use these soft families, we introduce some hyperspaces of soft sets, called upper (lower) and Vietoris soft topological space, which defined on classes of soft sets define the upper and lower Vietoris continuity of soft multifunction and we give the relationship between Vietoris continuity of soft multifunction and continuity of soft mappinghttps://dergipark.org.tr/en/download/article-file/407485– soft hyperspacessoft vietoris topological spacessoft setssoft multifunctionsoft continuity
spellingShingle Metin Aktağ
Fethullah Erol
ON HYPERSPACES OF SOFT SETS
Journal of New Theory
– soft hyperspaces
soft vietoris topological spaces
soft sets
soft multifunction
soft continuity
title ON HYPERSPACES OF SOFT SETS
title_full ON HYPERSPACES OF SOFT SETS
title_fullStr ON HYPERSPACES OF SOFT SETS
title_full_unstemmed ON HYPERSPACES OF SOFT SETS
title_short ON HYPERSPACES OF SOFT SETS
title_sort on hyperspaces of soft sets
topic – soft hyperspaces
soft vietoris topological spaces
soft sets
soft multifunction
soft continuity
url https://dergipark.org.tr/en/download/article-file/407485
work_keys_str_mv AT metinaktag onhyperspacesofsoftsets
AT fethullaherol onhyperspacesofsoftsets