Soft strong $ \theta $-continuity and soft almost strong $ \theta $-continuity

Dina Abuzaid; Samer Al-Ghour; Dina Abuzaid; Samer Al-Ghour

doi:10.3934/math.2024809

AIMS Mathematics

2024, Volume 9, Issue 6: 16687-16703. doi: 10.3934/math.2024809

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Research article

Soft strong $ \theta $-continuity and soft almost strong $ \theta $-continuity

Dina Abuzaid ¹,
Samer Al-Ghour ^{2
,
,}

1.
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2.
Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan

Received: 26 February 2024 Revised: 17 April 2024 Accepted: 28 April 2024 Published: 14 May 2024
MSC : 54A40, 05C72

We continued the study of "soft strong $ \theta $-continuity" and defined and investigated "soft almost strong $ \theta $-continuity" which is a generalization of soft strong $ \theta $-continuity. We gave characterizations and examined soft composition concerning these two concepts. Furthermore, we derived several soft mapping theorems. We provided several links between these two ideas and their related concepts through examples. Lastly, we looked at the symmetry between them and their topological counterparts.
- soft $ \theta $-openness,
- soft $ \delta $ -openness,
- soft strong $ \theta $-continuity,
- generated soft topology
Citation: Dina Abuzaid, Samer Al-Ghour. Soft strong $ \theta $-continuity and soft almost strong $ \theta $-continuity[J]. AIMS Mathematics, 2024, 9(6): 16687-16703. doi: 10.3934/math.2024809

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Abstract

We continued the study of "soft strong $ \theta $-continuity" and defined and investigated "soft almost strong $ \theta $-continuity" which is a generalization of soft strong $ \theta $-continuity. We gave characterizations and examined soft composition concerning these two concepts. Furthermore, we derived several soft mapping theorems. We provided several links between these two ideas and their related concepts through examples. Lastly, we looked at the symmetry between them and their topological counterparts.

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