the main purpose of this paper is to introduce and study new classes of soft closed sets like soft regular generalized b-closed sets in soft topological spaces (brie y soft rgb-closed set) moreover, soft rg-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, soft g-closed, soft gb-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and we investigat...

The main purpose of this paper is to introduce and study new classes of soft closed sets like soft regular generalized b-closed sets in soft topological spaces (briefly soft rgb-closed set) Moreover, soft rg-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, soft g$alpha$-closed, soft g$alpha$b-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and w...

In our study, we gave a new definition for bipolar soft topology and were able to examine the concept of ordered using base defined on this topology. We also define set relation by defining an R set. Thus, have interval presented structure these intervals in study. Then, expressed some applications order

In a soft environment, we investigated several (classical) structures such as ideals, filters, grills, etc. It is well known that these are applied to expand abstract concepts; in addition, some of them offer vital tool address practical issues, especially those related improving rough approximation operators and accuracy measures. Herein, contribute this line research by presenting novel type ...

An object $X$ of a category $mathbf{C}$ with finite limits is called exponentiable if the functor $-times X:mathbf{C}rightarrow mathbf{C}$ has a right adjoint. There are many characterizations of the exponentiable  spaces in the category $mathbf{Top}$ of topological spaces. Here, we study the exponentiable objects in the category $mathbf{STop}$ of soft topological spaces which is a generalizati...

In this paper, by defining soft ditopological spaces, a new approach to the soft topology via softset theory is made, with defining two structures on a soft set a soft topology and a softsubspace topology. Moreover, separation axioms in soft ditopological spaces are characterizedand the relations between soft topological and soft ditopological structures are investigated.Referen...

In this paper, by defining soft ditopological spaces, a new approach to the soft topology via softset theory is made, with defining two structures on a soft set a soft topology and a softsubspace topology. Moreover, separation axioms in soft ditopological spaces are characterizedand the relations between soft topological and soft ditopological structures are investigated.Referen...