Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets

In this study, the generalized intersection and union operations of fuzzy soft set (FSS) are established on the basis of traditional FSS operations, which overcome the shortcomings of traditional FSS operations that do not meet De Morgan’s law, and a series of properties of generalized intersection...

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Autores principales:	Jingshui Ping, Guangming Xue
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/db1e488311514a02a8e4fad2b58ae5e4
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spelling	oai:doaj.org-article:db1e488311514a02a8e4fad2b58ae5e42021-11-29T00:56:11ZFuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets2314-478510.1155/2021/4760733https://doaj.org/article/db1e488311514a02a8e4fad2b58ae5e42021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/4760733https://doaj.org/toc/2314-4785In this study, the generalized intersection and union operations of fuzzy soft set (FSS) are established on the basis of traditional FSS operations, which overcome the shortcomings of traditional FSS operations that do not meet De Morgan’s law, and a series of properties of generalized intersection and union operations of FSS are obtained. The fuzzy soft topology under generalized intersection and generalized union operation of FSSs is established. Finally, the topological construction of weak FSS and strong FSS is discussed, and the relationship between them and the topological construction of traditional FSS is obtained.Jingshui PingGuangming XueHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Jingshui Ping Guangming Xue Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets
description	In this study, the generalized intersection and union operations of fuzzy soft set (FSS) are established on the basis of traditional FSS operations, which overcome the shortcomings of traditional FSS operations that do not meet De Morgan’s law, and a series of properties of generalized intersection and union operations of FSS are obtained. The fuzzy soft topology under generalized intersection and generalized union operation of FSSs is established. Finally, the topological construction of weak FSS and strong FSS is discussed, and the relationship between them and the topological construction of traditional FSS is obtained.
format	article
author	Jingshui Ping Guangming Xue
author_facet	Jingshui Ping Guangming Xue
author_sort	Jingshui Ping
title	Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets
title_short	Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets
title_full	Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets
title_fullStr	Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets
title_full_unstemmed	Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets
title_sort	fuzzy soft topology based on generalized intersection and generalized union of fuzzy soft sets
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/db1e488311514a02a8e4fad2b58ae5e4
work_keys_str_mv	AT jingshuiping fuzzysofttopologybasedongeneralizedintersectionandgeneralizedunionoffuzzysoftsets AT guangmingxue fuzzysofttopologybasedongeneralizedintersectionandgeneralizedunionoffuzzysoftsets
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Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets

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