Soft set theory, initially introduced through the seminal article “Soft set theory—First results”
in 1999, has gained considerable attention in the field of mathematical modeling and …

This paper contributes to the growing literature on soft topology and decision-making
problems. First, we establish new properties of soft somewhat open sets (briefly, sw-open …

In this work, we introduce new types of soft separation axioms called pt‐soft α regular and pt‐
soft αTi‐spaces (i= 0, 1, 2, 3, 4) using partial belong and total nonbelong relations between …

This study introduces a new family of soft separation axioms and a real-life application
utilizing partial belong and natural non-belong relations. First, we initiate the concepts of w …

It is well known every soft topological space induced from soft information system is soft
compact. In this study, we integrate between soft compactness and partially ordered set to …

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 …

Soft topological spaces (STSs) have received a lot of attention recently, and numerous soft
topological ideas have been created from differing viewpoints. Herein, we put forth a new …

The desire of generalizing some set-theoretic properties to the soft set theory motivated
many researchers to define various types of soft operators. For example, they redefined the …

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 …

In various articles, it is said that the class of all soft topologies on a common universe forms a
complete lattice, but in this paper, we prove that it is a complete lattice. Some soft topologies …