New results on soft generalized topological spaces
Authors
J. Al-Mufarrij
- Department of Mathematics, Women section, King Saud University, Riyadh 12372, KSA.
S. Saleh
- Department of Computer Science, Cihan University-Erbil, Erbil, Iraq.
- Department of Mathematics, Hodeidah University, Hodeidah, Yemen.
Abstract
This work aims to introduce and discuss two new classes of separation properties namely, soft generalized \(R_0\) and \(R_1\) in a soft generalized topological space defined on an initial universe set, by using the notions of soft \(g\)-open sets and soft \(g\)-closure operator. We investigate some of their properties and characterizations. We further, investigate the relationships between different generalized structures of soft topology, providing some illustrative examples and results. Additionally, we present connections between these separation properties and those in some generated topologies. Furthermore, we show that being \({SGR}_i\), \(i=0,1\) are soft generalized topological properties.
Share and Cite
ISRP Style
J. Al-Mufarrij, S. Saleh, New results on soft generalized topological spaces, Journal of Mathematics and Computer Science, 32 (2024), no. 1, 43--53
AMA Style
Al-Mufarrij J., Saleh S., New results on soft generalized topological spaces. J Math Comput SCI-JM. (2024); 32(1):43--53
Chicago/Turabian Style
Al-Mufarrij, J., Saleh, S.. "New results on soft generalized topological spaces." Journal of Mathematics and Computer Science, 32, no. 1 (2024): 43--53
Keywords
- Soft sets
- soft \(g\)-open sets
- soft generalized topology
- \(Sg\)-closure
- \(SG\)-kernel
- soft generalized \(R_0\) and \(R_1\) spaces
MSC
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