Neutrosophic soft semi-regularization and neutrosophic soft sub-maximality

Abstract

In this study, our target point is to focus on neutrosophic soft semi-regularization spaces connected with neutrosophic soft topological spaces and examine their properties. First, we define the neutrosophic soft sub-maximal space and present the evidences for the existence of a neutrosophic soft sub-maximal space for every neutrosophic soft topological space. In this document, we focused on the relationship of neutrosophic soft sub-maximal spaces and neutrosophic soft semi-regular spaces with these spaces. Also, we find that this relationship is very close and it is minimal or maximal depending on some definite properties which are called neutrosophic soft semi-regular properties. This led us to examine the semi-regularity of different properties. After all, we introduced some types of functions in neutrosophic soft topological spaces that correspond with some types of functions previously defined in many topological spaces of different types and revealed the behaviours of these functions according to the cases where their domain or codomain spaces are replaced by their semi-regularization spaces.