Filter with its applications in fuzzy soft topological spaces

In this paper, we introduce the convergence of a fuzzy soft filter with the help of the Q-neighborhoods and study the relations between fuzzy soft nets and fuzzy soft filters. In addition, we use fuzzy soft filters to characterize some basic concepts of a fuzzy soft topological space, such as open s...

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Bibliographic Details
Main Authors:	Rui Gao, Jianrong Wu
Format:	Article
Language:	English
Published:	AIMS Press 2021-01-01
Series:	AIMS Mathematics
Subjects:	fuzzy soft set fuzzy soft topology fuzzy soft net fuzzy soft filter convergence
Online Access:	http://www.aimspress.com/article/doi/10.3934/math.2021143?viewType=HTML

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spelling	doaj-fb7a6ce0182d4f329cb9dc1a9e26c7812021-01-07T02:17:22ZengAIMS PressAIMS Mathematics2473-69882021-01-01632359236810.3934/math.2021143Filter with its applications in fuzzy soft topological spacesRui Gao0Jianrong Wu1College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, P. R. ChinaCollege of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, P. R. ChinaIn this paper, we introduce the convergence of a fuzzy soft filter with the help of the Q-neighborhoods and study the relations between fuzzy soft nets and fuzzy soft filters. In addition, we use fuzzy soft filters to characterize some basic concepts of a fuzzy soft topological space, such as open sets, closure, T2 separation and continuity.http://www.aimspress.com/article/doi/10.3934/math.2021143?viewType=HTMLfuzzy soft setfuzzy soft topologyfuzzy soft netfuzzy soft filterconvergence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Rui Gao Jianrong Wu
spellingShingle	Rui Gao Jianrong Wu Filter with its applications in fuzzy soft topological spaces AIMS Mathematics fuzzy soft set fuzzy soft topology fuzzy soft net fuzzy soft filter convergence
author_facet	Rui Gao Jianrong Wu
author_sort	Rui Gao
title	Filter with its applications in fuzzy soft topological spaces
title_short	Filter with its applications in fuzzy soft topological spaces
title_full	Filter with its applications in fuzzy soft topological spaces
title_fullStr	Filter with its applications in fuzzy soft topological spaces
title_full_unstemmed	Filter with its applications in fuzzy soft topological spaces
title_sort	filter with its applications in fuzzy soft topological spaces
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2021-01-01
description	In this paper, we introduce the convergence of a fuzzy soft filter with the help of the Q-neighborhoods and study the relations between fuzzy soft nets and fuzzy soft filters. In addition, we use fuzzy soft filters to characterize some basic concepts of a fuzzy soft topological space, such as open sets, closure, T2 separation and continuity.
topic	fuzzy soft set fuzzy soft topology fuzzy soft net fuzzy soft filter convergence
url	http://www.aimspress.com/article/doi/10.3934/math.2021143?viewType=HTML
work_keys_str_mv	AT ruigao filterwithitsapplicationsinfuzzysofttopologicalspaces AT jianrongwu filterwithitsapplicationsinfuzzysofttopologicalspaces
_version_	1724346959571976192

Filter with its applications in fuzzy soft topological spaces

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