Partial belong relation on soft separation axioms and decision-making problem, two birds with one stone

TM Al-shami, ME El-Shafei - Soft computing, 2020 - Springer
Here, we employ partial belong and total non-belong relations to construct a study
consisting of two parts: one of them is related to soft topologies, and the other one is …

[PDF][PDF] The equivalence between the enriched and extended soft topologies

TM Al-shami, LDR Kocinac - Appl. Comput. Math, 2019 - researchgate.net
In this paper, we first prove that these two concepts are equivalent, and then conclude that
(Int (H), E)= Int (H, E) and (Cl (H), E)= Cl (H, E), for any soft subset (H, E) of an extended soft …

Soft α‐Open Sets and Soft α‐Continuous Functions

M Akdag, A Ozkan - Abstract and Applied Analysis, 2014 - Wiley Online Library
We introduce soft α‐sets on soft topological spaces and study some of their properties. We
also investigate the concepts of soft α‐continuous and soft α‐open functions and discuss …

Sum of soft topological spaces

TM Al-shami, LDR Kočinac, BA Asaad - Mathematics, 2020 - mdpi.com
In this paper, we introduce the concept of sum of soft topological spaces using pairwise
disjoint soft topological spaces and study its basic properties. Then, we define additive and …

On two classes of soft sets in soft topological spaces

S Al Ghour, W Hamed - Symmetry, 2020 - mdpi.com
In this paper, we define soft ω-open sets and strongly soft ω-open sets as two new classes of
soft sets. We study the natural properties of these types of soft sets and we study the validity …

Comments on some results related to soft separation axioms

TM Al-Shami - Afrika Matematika, 2020 - Springer
Separation axioms are among the most widespread, significant and motivating concepts via
classical topology. They can be utilized to approach problems related to digital topology and …

Almost soft compact and approximately soft Lindelöf spaces

TM Al-Shami, ME El-Shafei… - Journal of Taibah …, 2018 - Taylor & Francis
The concepts of almost soft compact (almost soft Lindelöf), approximately soft Lindelöf and
mildly soft compact (mildly soft Lindelöf) spaces are initiated and investigated in this work …

Soft expandable spaces

AA Rawshdeh, HH Al-Jarrah, TM Al-Shami - Filomat, 2023 - doiserbia.nb.rs
In this study, we first introduce a new class of spaces, namely soft expandable spaces, which
is a generalization of soft paracompact and countably soft compact spaces. Some properties …

Soft b-open sets and soft b-continuous functions

M Akdag, A Ozkan - Mathematical Sciences, 2014 - Springer
In this paper, a new class of generalized soft open sets in soft topological spaces, called soft
b-open sets, is introduced and studied. Then discussed the relationships among soft α-open …

[PDF][PDF] Further properties of soft somewhere dense continuous functions and soft Baire spaces

ZA Ameen, TM Al-shami, BA Asaad - J. Math. Comput. Sci, 2024 - academia.edu
In this paper, we first explore more properties of soft somewhere dense continuous
functions. Then, we discuss the preservation of soft Baire property and soft Baire category …