Some classes of soft functions defined by soft open sets modulo soft sets of the first category

ZA Ameen, MH Alqahtani - Mathematics, 2023 - mdpi.com
Soft continuity can contribute to the development of digital images and computational
topological applications other than the field of soft topology. In this work, we study a new …

Lower density soft operators and density soft topologies

ZA Ameen, MH Alqahtani, OF Alghamdi - Heliyon, 2024 - cell.com
The classical density topology is derived from the Lebesgue density points of Lebesgue
measurable sets. Wilczynski proposed a more general scheme for defining density points. It …

New versions of maps and connected spaces via supra soft sd-operators

AM Abd El-latif, AA Azzam, R Abu-Gdairi, M Aldawood… - PloS one, 2024 - journals.plos.org
In this manuscript we use novel types of soft operators to define new approaches of soft
maps in the frame of supra soft topologies (or SSTSs), namely supra soft somewhere dens …

On r-fuzzy soft δ-open sets and applications via fuzzy soft topologies

I Alshammari, MH Alqahtani, IM Taha - 2023 - preprints.org
In this work, we introduce the concepts of r-fuzzy soft δ-open (resp. semi-open and α-open)
sets on fuzzy soft topological space, the relations of these sets with each other are …

Strictly wider class of soft sets via supra soft δ-closure operator

AM Abd El-latif, MH Alqahtani… - International Journal of …, 2024 - etamaths.com
In this work, we use the supra soft δ-closure operator to present a new notion of generalized
closed sets in supra soft topological spaces (or SSTSs), named supra soft δ-generalized …

Novel Classes of Bipolar Soft Generalized Topological Structures: Compactness and Homeomorphisms

HY Saleh, BA Asaad… - Fuzzy Information and …, 2024 - ieeexplore.ieee.org
The purpose of this paper is to define bipolar soft generalized compact sets and bipolar soft
generalized compact spaces. The structures of ̃̃g-centralized bipolar soft generalized closed …

Methods of generating soft topologies and soft separation axioms

ZA Ameen, BA Asaad - arXiv preprint arXiv:2302.05691, 2023 - arxiv.org
The paper develops a novel analysis of mutual interactions between topology and soft
topology. It is known that each soft topology produces a system of crisp (parameterized) …