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 …

Congruence representations via soft ideals in soft topological spaces

ZA Ameen, MH Alqahtani - Axioms, 2023 - mdpi.com
This article starts with a study of the congruence of soft sets modulo soft ideals. Different
types of soft ideals in soft topological spaces are used to introduce new weak classes of soft …

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 …

[HTML][HTML] Soft Weakly Quasi-Continuous Functions Between Soft Topological Spaces

S Al-Ghour, D Abuzaid, M Naghi - Mathematics, 2024 - mdpi.com
As an extension of quasi-continuity in general topology, we define soft quasi-continuity. We
show that this notion is equivalent to the known notion of soft semi-continuity. Next, we …

Soft Faint Continuity and Soft Faint Theta Omega Continuity between Soft Topological Spaces

D Abuzaid, M Naghi, S Al Ghour - Symmetry, 2024 - mdpi.com
The concepts of soft faint continuity as a weaker form of soft weak continuity and soft faint θ
ω-continuity as a weaker form of soft weak θ ω-continuity are introduced. Numerous …

[HTML][HTML] Three Weaker Forms of Soft Faint Continuity

S Al-Ghour, D Abuzaid - Symmetry, 2024 - mdpi.com
The authors of this paper introduce and discuss three weaker forms of soft faint continuity:
soft faint semi-continuity, soft faint pre-continuity, and soft faint β-continuity. They …

[PDF][PDF] Uncertain Labeling Graphs and Uncertain Graph Classes (with Survey for Various Uncertain Sets)

T Fujita - parameters - researchgate.net
Graph theory, a branch of mathematics, studies the relationships between entities using
vertices and edges. Uncertain Graph Theory has emerged within this field to model the …