On Topological Structures of Fuzzy Parametrized Soft Sets

We introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated its basic properties. We study the closure, interior, base, continuity, and compactness and propert...

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Main Authors: Serkan Atmaca, İdris Zorlutuna
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/164176
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author Serkan Atmaca
İdris Zorlutuna
author_facet Serkan Atmaca
İdris Zorlutuna
author_sort Serkan Atmaca
collection DOAJ
description We introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated its basic properties. We study the closure, interior, base, continuity, and compactness and properties of these concepts in fuzzy parametrized soft topological spaces.
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institution OA Journals
issn 2356-6140
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-3f7325edbc054c0f92050ee0ac5d44942025-08-20T02:08:08ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/164176164176On Topological Structures of Fuzzy Parametrized Soft SetsSerkan Atmaca0İdris Zorlutuna1Department of Mathematics, Cumhuriyet University, 58140 Sivas, TurkeyDepartment of Mathematics, Cumhuriyet University, 58140 Sivas, TurkeyWe introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated its basic properties. We study the closure, interior, base, continuity, and compactness and properties of these concepts in fuzzy parametrized soft topological spaces.http://dx.doi.org/10.1155/2014/164176
spellingShingle Serkan Atmaca
İdris Zorlutuna
On Topological Structures of Fuzzy Parametrized Soft Sets
The Scientific World Journal
title On Topological Structures of Fuzzy Parametrized Soft Sets
title_full On Topological Structures of Fuzzy Parametrized Soft Sets
title_fullStr On Topological Structures of Fuzzy Parametrized Soft Sets
title_full_unstemmed On Topological Structures of Fuzzy Parametrized Soft Sets
title_short On Topological Structures of Fuzzy Parametrized Soft Sets
title_sort on topological structures of fuzzy parametrized soft sets
url http://dx.doi.org/10.1155/2014/164176
work_keys_str_mv AT serkanatmaca ontopologicalstructuresoffuzzyparametrizedsoftsets
AT idriszorlutuna ontopologicalstructuresoffuzzyparametrizedsoftsets