SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES

Abstract

Near soft sets are a very successful mathematical model that has been used in order to express the decision-making process for uncertainty in a more ideal way, especially in recent years. The purpose of this paper is to contribute to the theoretical studies on near soft topological spaces. In addition, it presents basic concepts and constructs that will form the basis for a near theoretical set-up of near soft topological spaces. These concepts and structures include sub near soft set, near soft subspaces of a near soft topological space and near soft $T_i$-spaces for $0\leq i\leq 4$. The important aspects of the paper are discussed, especially by examining the definitions and properties given.