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International Journal of Neutrosophic Science
Volume 19 , Issue 2, PP: 19-29 , 2022 | Cite this article as | XML | Html |PDF

Title

Continuity and Compactness via Hypersoft Open Sets

Authors Names :   Baravan A. Asaad   1 *     Sagvan Y. Musa   2  

1  Affiliation :  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

    Email :  baravan.asaad@uoz.edu.krd


2  Affiliation :  Department of Mathematics, Faculty of Education, University of Zakho, Zakho 42002, Iraq

    Email :  sagvan.musa@uoz.edu.krd



Doi   :   https://doi.org/10.54216/IJNS.190202

Received: February 11, 2022 Accepted: September 19, 2022

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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Cite this Article as :
Baravan A. Asaad , Sagvan Y. Musa, Continuity and Compactness via Hypersoft Open Sets, International Journal of Neutrosophic Science, Vol. 19 , No. 2 , (2022) : 19-29 (Doi   :  https://doi.org/10.54216/IJNS.190202)