Applications on soft somewhere dense sets

Believing in the importance of generalizations related to soft open sets and their important role in generalizing many topological concepts and properties, this research paper was presented. Specially, we introduce the new class of soft somewhere dense generalized closed sets and soft somewhere dense generalized open sets in soft topological spaces (or STSs). Several properties and theorems have been explored. Moreover, we provide the comparison between this new class and some other categories of soft sets such as soft closed sets, soft regular closed sets, soft b-closed sets, soft semi-closed sets, soft pre-closed sets, soft α-closed sets, soft β-closed sets, soft g-closed sets, s*g-closed sets, soft g α b-closed sets and soft g β-closed sets with the support of number of examples and counterexamples. Hence, we can say that the presented approach is wider than all of the above mentioned categories. Therefore, this opens the way for the researchers to make further generalizations and future applications.