On Some New Types of Fuzzy Soft Compact Spaces

In this article, we apply the concept of fuzzy soft δ-open sets to define new types of compactness in fuzzy soft topological spaces, namely, δ-compactness and δ∗-compactness. We explore some of their basic properties and reveal the relationships between these types and that which are defined by othe...

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Main Authors: S. Saleh, Tareq M. Al-shami, Abdelwaheb Mhemdi
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/5065592
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author S. Saleh
Tareq M. Al-shami
Abdelwaheb Mhemdi
author_facet S. Saleh
Tareq M. Al-shami
Abdelwaheb Mhemdi
author_sort S. Saleh
collection DOAJ
description In this article, we apply the concept of fuzzy soft δ-open sets to define new types of compactness in fuzzy soft topological spaces, namely, δ-compactness and δ∗-compactness. We explore some of their basic properties and reveal the relationships between these types and that which are defined by other authors. Also, we show that δ∗-compactness is more general than that which is presented in other papers. To clarify the obtained results and relationships, some illustrative examples are given.
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institution Kabale University
issn 2314-4785
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publishDate 2023-01-01
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record_format Article
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spelling doaj-art-ab06e142b5b448f599373dd86e8ccd662025-02-03T11:54:03ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/5065592On Some New Types of Fuzzy Soft Compact SpacesS. Saleh0Tareq M. Al-shami1Abdelwaheb Mhemdi2Department of Computer ScienceDepartment of MathematicsDepartment of MathematicsIn this article, we apply the concept of fuzzy soft δ-open sets to define new types of compactness in fuzzy soft topological spaces, namely, δ-compactness and δ∗-compactness. We explore some of their basic properties and reveal the relationships between these types and that which are defined by other authors. Also, we show that δ∗-compactness is more general than that which is presented in other papers. To clarify the obtained results and relationships, some illustrative examples are given.http://dx.doi.org/10.1155/2023/5065592
spellingShingle S. Saleh
Tareq M. Al-shami
Abdelwaheb Mhemdi
On Some New Types of Fuzzy Soft Compact Spaces
Journal of Mathematics
title On Some New Types of Fuzzy Soft Compact Spaces
title_full On Some New Types of Fuzzy Soft Compact Spaces
title_fullStr On Some New Types of Fuzzy Soft Compact Spaces
title_full_unstemmed On Some New Types of Fuzzy Soft Compact Spaces
title_short On Some New Types of Fuzzy Soft Compact Spaces
title_sort on some new types of fuzzy soft compact spaces
url http://dx.doi.org/10.1155/2023/5065592
work_keys_str_mv AT ssaleh onsomenewtypesoffuzzysoftcompactspaces
AT tareqmalshami onsomenewtypesoffuzzysoftcompactspaces
AT abdelwahebmhemdi onsomenewtypesoffuzzysoftcompactspaces