@article{Abuzaid2025, 
author = {Dina Abuzaid and Samer Al-Ghour},
title = {Supra soft Omega-open sets and supra soft Omega-regularity},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {6636-6651},
keywords = {supra-ω-open sets, supra-ω-local indiscrete space, supra-soft regular space, supra-generated soft topology},
url = {https://www.sciopen.com/article/10.3934/math.2025303},
doi = {10.3934/math.2025303},
abstract = {This paper introduces a novel concept of supra-soft topology generated from a specific family of supra-topologies. We define supra-soft    ω-open sets as a new class of soft sets that create a finer topology than the original. We explore the properties of these supra-soft    ω-open sets and assess the validity of related results from ordinary supra-topological spaces within the framework of supra-soft topological spaces. Additionally, we present two new separation axioms: supra-soft    ω-local indiscreteness and supra-soft    ω -regularity, demonstrating that both are stronger than traditional supra-soft    ω-regularity. We also provide subspace and product theorems for supra-soft    ω-regularity and examine the correspondence between our new supra-soft concepts and their classical counterparts in supra-topology.}
}