Affiliation:
1. Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq + Department of Computer Science, College of Science, Cihan University-Duhok, Duhok, Iraq
2. Department of Mathematics, Faculty of Education, University of Zakho, Zakho, Iraq
Abstract
In this manuscript, we continue to study the hypersoft topological space (for
short, HSTS) by presenting hypersoft (HS) separation axioms, called HS
Ti-spaces for i = 0, 1, 2, 3, 4. The notions of HS regular and HS normal
spaces are explained in detail. We discuss the connections between them and
present numerous examples to help clarify the interconnections between the
different types of these spaces. We point out that HS Ti-axioms imply HS
Ti?1 for i = 1, 2, 3, and with the help of an example we show that HS
T4-space need not be HS T3-space. We also clarify that the property that an
HS space being HS Ti-spaces (i = 0, 1, 2, 3) is HS hereditary. Finally, we
provide a diagram to illustrate the relationships between our proposed
axioms.
Publisher
National Library of Serbia
Reference24 articles.
1. M. Abbas, G. Murtaza, F. Smarandache, Basic operations on hypersoft sets and hypersoft point, Neutrosophic Sets Syst. 35 (2020) 407-421.
2. M. Abdel-Basset, W. Ding, R. Mohamed, N. Metawa, An integrated plithogenic MCDM approach for financial performance evaluation of manufacturing industries, Risk Manag. 22 (2020) 192-218.
3. M. Ali, F. Feng, X. Liu,W. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (2009) 1547-1553.
4. T. M. Al-shami, Comments on some results related to soft separation axioms, Afr. Mat. 31 (2020) 1105-1119.
5. S. Bayramov, C.G. Aras, A new approach to separability and compactnees in soft topological spaces, TWMS J. Pure Appl. Math. 9 (2018) 82-93.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献