On some weaker forms of soft continuity and their decomposition theorems
Volume 29, Issue 4, pp 317--328
https://doi.org/10.22436/jmcs.029.04.02
Publication Date: November 03, 2022
Submission Date: July 18, 2022
Revision Date: August 08, 2022
Accteptance Date: August 13, 2022
Authors
S. Al Ghour
- Department of Mathematics and Statistics, Jordan University of Science and Technology, IRBID, Jordan.
Abstract
In this paper, we employ soft \(\omega ^{0}\)-open sets to
establish four new classes of soft functions in STSs: soft \(\omega ^{0}\)
-continuity, soft weak \(\omega ^{0}\)-continuity, soft \(w^{\ast }\)
-continuity, and soft \(w^{\ast }\)-\(\omega ^{0}\)-continuity. We show that
soft weak \(\omega ^{0}\)-continuity and soft \(w^{\ast }\)-\(\omega ^{0}\)
-continuity are distinct notions, each of which is strictly weaker than soft
\(\omega ^{0}\)-continuity. Furthermore, we get a soft \(\omega ^{0}\)
-continuity decomposition theorem via both weak \(\omega ^{0}\)-continuity and
soft \(w^{\ast }\)-\(\omega ^{0}\)-continuity. In addition, we demonstrate that
soft \(w^{\ast }\)-continuity is precisely between soft continuity and soft \(
w^{\ast }\)-\(\omega ^{0}\)-continuity. We further show that soft \(w^{\ast }\)
-continuity and soft weak continuity are distinct concepts. In addition, we
develop a soft continuity decomposition theorem via soft \(w^{\ast }\)
-continuity and soft weak continuity. Finally, we examine the connection
between our new soft topological ideas and their corresponding topological
concepts. Include keywords, mathematical
subject classification numbers as needed.
Share and Cite
ISRP Style
S. Al Ghour, On some weaker forms of soft continuity and their decomposition theorems, Journal of Mathematics and Computer Science, 29 (2023), no. 4, 317--328
AMA Style
Al Ghour S., On some weaker forms of soft continuity and their decomposition theorems. J Math Comput SCI-JM. (2023); 29(4):317--328
Chicago/Turabian Style
Al Ghour, S.. "On some weaker forms of soft continuity and their decomposition theorems." Journal of Mathematics and Computer Science, 29, no. 4 (2023): 317--328
Keywords
- Soft \(\omega ^{0}\)-openness
- soft continuity
- soft weak continuity
- generated soft topology
MSC
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