A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces

A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces

This paper presents a new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness based on L-fuzzy α-open operators introduced by Nannan and Ruiying [1] and implication operation. The proposed representation extends the properties of α-openness, α-continuity, α-irresoluteness...

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Main Authors: Ghareeb A., Al-Saadi H. S., Khalil O. H.
Format: Article
Language:English
Published: De Gruyter 2019-06-01
Series:Open Mathematics
Subjects:
l-fuzzy pretopology
l-fuzzy α-open operator
l-fuzzy α-openness degree
l-fuzzy α-continuty degree
l-fuzzy α-irresolutness degree
l-fuzzy α-compactness degree
03e72
54a40
54c20
Online Access:http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0047/math-2019-0047.xml?format=INT
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spelling doaj-676350a6e77146eabd6e15ba3c3950d32020-11-25T03:53:15ZengDe GruyterOpen Mathematics2391-54552019-06-0117155957410.1515/math-2019-0047math-2019-0047A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spacesGhareeb A.0Al-Saadi H. S.1Khalil O. H.2Department of Mathematics, College of Science, Al-Baha University, Al-Baha, Saudi ArabiaMathematics Department, Faculty of Applied Sciences, Umm Al-Qura University, Makkah, 21955, P. O Box 11155, Saudi ArabiaDepartment of Mathematics, College of Science, Majmaah University, Al-Majmaah, 11952, Saudi ArabiaThis paper presents a new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness based on L-fuzzy α-open operators introduced by Nannan and Ruiying [1] and implication operation. The proposed representation extends the properties of α-openness, α-continuity, α-irresoluteness, and α-compactness to the setting of L-fuzzy pretopological spaces based on graded concepts. Moreover, we introduce and establish the relationships among the new concepts.http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0047/math-2019-0047.xml?format=INTl-fuzzy pretopologyl-fuzzy α-open operatorl-fuzzy α-openness degreel-fuzzy α-continuty degreel-fuzzy α-irresolutness degreel-fuzzy α-compactness degree03e7254a4054c20
collection DOAJ
language English
format Article
sources DOAJ
author Ghareeb A.
Al-Saadi H. S.
Khalil O. H.
spellingShingle Ghareeb A.
Al-Saadi H. S.
Khalil O. H.
A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces
Open Mathematics
l-fuzzy pretopology
l-fuzzy α-open operator
l-fuzzy α-openness degree
l-fuzzy α-continuty degree
l-fuzzy α-irresolutness degree
l-fuzzy α-compactness degree
03e72
54a40
54c20
author_facet Ghareeb A.
Al-Saadi H. S.
Khalil O. H.
author_sort Ghareeb A.
title A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces
title_short A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces
title_full A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces
title_fullStr A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces
title_full_unstemmed A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces
title_sort new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in l-fuzzy pretopological spaces
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2019-06-01
description This paper presents a new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness based on L-fuzzy α-open operators introduced by Nannan and Ruiying [1] and implication operation. The proposed representation extends the properties of α-openness, α-continuity, α-irresoluteness, and α-compactness to the setting of L-fuzzy pretopological spaces based on graded concepts. Moreover, we introduce and establish the relationships among the new concepts.
topic l-fuzzy pretopology
l-fuzzy α-open operator
l-fuzzy α-openness degree
l-fuzzy α-continuty degree
l-fuzzy α-irresolutness degree
l-fuzzy α-compactness degree
03e72
54a40
54c20
url http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0047/math-2019-0047.xml?format=INT
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