@article{Ameen2025, 
author = {Zanyar A. Ameen and Ohud F. Alghamdi},
title = {Soft structural Oxtoby–Rose operators and their generated topologies},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {9},
pages = {20825-20842},
keywords = {soft Oxtoby–Rose operator, lower-density soft operator, soft topology, soft density topology},
url = {https://www.sciopen.com/article/10.3934/math.2025930},
doi = {10.3934/math.2025930},
abstract = {In this study, we introduce the notion of soft Oxtoby–Rose operators within the framework of abstract measurable soft spaces, extend the classical concept of lower-density operators, and explore their essential characteristics. Subsequently, we delve into the so-called soft Oxtoby–Rose topologies (soft OR-topologies), the soft topologies generated by soft Oxtoby–Rose operators. We examine the key features and definitions associated with soft OR-topologies. Specifically, we demonstrate that within soft OR-topologies, Baire category soft sets, soft locally closed sets, and Borel soft sets are all equivalent. We wrap up this research by analyzing various soft topological properties linked to soft OR-topologies.}
}