Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces

Abstract

The idea of neutrosophic set was floated by Smarandache by considering a truth membership, an indeterminacy membership and a falsehood or falsity membership functions. The engagement between neutrosophic set and soft set was done by Maji. More over it was used effectively to model uncertainty in different areas of application, such as control, reasoning, pattern recognition and computer vision. The first aim of this paper leaks out the notion of neutrosophic soft p-open set,neutrosophic soft p-closed sets and their important characteristics. Also the notion of neutrosophic soft p-neighborhood and neutrosophic soft p-separation axioms in neutrosophic soft topological spaces are developed. Important results are examed marrying to these newly defined notion relative to soft points. The notion of neutrosophic soft p-separation axioms of neutrosophic soft topological spaces is diffused in different results concerning soft points. Furthermore, properties of neutrosophic soft -Pi -space (i = 0, 1, 2, 3, 4) and linkage between them is built up.

Keywords

• neutrosophic soft set; neutrosophic soft point; neutrosophic soft p-open set; neutrosophic soft p-neighborhood; neutrosophic soft p-separation axioms.)