1
Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq;Department of Computer Science, College of Science, Cihan University-Duhok, Duhok 42001, Iraq
(baravan.asaad@uoz.edu.krd)
2
Department of Mathematics, Faculty of Education, University of Zakho, Zakho 42002, Iraq
(sagvan.musa@uoz.edu.krd)
Abstract :
Hypersoft topology (HST) is the study of a structure based on all hypersoft (HS) sets on a given set of alternatives.
In continuation of this concern, in this article, we introduce new maps namely HS continuous, HS open,
HS closed, and HS homomorphism. We examine the main characteristics of each of these maps. Furthermore,
we study HS compact space and discuss some of its properties. We point out that HS compactness preserved
under HS continuous map.
Keywords :
HS continuous map; HS open (closed) map; HS homeomorphism map; HS compact space
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| Style | # |
|---|---|
| MLA | Baravan A. Asaad, Sagvan Y. Musa. "Continuity and Compactness via Hypersoft Open Sets." International Journal of Neutrosophic Science, Vol. 19, No. 2, 2022 ,PP. 19-29 (Doi : https://doi.org/10.54216/IJNS.190202) |
| APA | Baravan A. Asaad, Sagvan Y. Musa. (2022). Continuity and Compactness via Hypersoft Open Sets. Journal of International Journal of Neutrosophic Science, 19 ( 2 ), 19-29 (Doi : https://doi.org/10.54216/IJNS.190202) |
| Chicago | Baravan A. Asaad, Sagvan Y. Musa. "Continuity and Compactness via Hypersoft Open Sets." Journal of International Journal of Neutrosophic Science, 19 no. 2 (2022): 19-29 (Doi : https://doi.org/10.54216/IJNS.190202) |
| Harvard | Baravan A. Asaad, Sagvan Y. Musa. (2022). Continuity and Compactness via Hypersoft Open Sets. Journal of International Journal of Neutrosophic Science, 19 ( 2 ), 19-29 (Doi : https://doi.org/10.54216/IJNS.190202) |
| Vancouver | Baravan A. Asaad, Sagvan Y. Musa. Continuity and Compactness via Hypersoft Open Sets. Journal of International Journal of Neutrosophic Science, (2022); 19 ( 2 ): 19-29 (Doi : https://doi.org/10.54216/IJNS.190202) |
| IEEE | Baravan A. Asaad, Sagvan Y. Musa, Continuity and Compactness via Hypersoft Open Sets, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 2 , (2022) : 19-29 (Doi : https://doi.org/10.54216/IJNS.190202) |