Smarandache introduced the idea of neutrosophic sets. Neutrosophic soft sets deals with uncertain data. This paper defines the notion of neutrosophic soft b-open sets. The relationship between neutrosophic soft b-open set and other neutrosophic soft open sets are discussed. Also the properties of neutrosophic soft b-open are investigated.

The idea of neutrosophic set was floated by Smarandache by supposing a truth membership, an indeterminacy membership and a falsehood or falsity membership functions. Neutrosophic soft sets bonded by Maji have been utilized successfully to model uncertainty in several areas of application such as control, reasoning, pattern recognition and computer vision. The rst aim of this article bounces the idea of neutrosophic soft b-open set, neutrosophic soft b-closed sets and their properties.Also the idea of neutrosophic soft b-neighborhood and neutrosophic soft b-separation axioms in neutrosophic soft topological structures are also reflected here.

In this paper, the notion of generalized neutrosophic soft open set (GNSOS) in neutrosophic soft open set (GNSOS) in neutrosophic soft topological structures relative to neutrosophic soft points is introduced.

In this paper we introduce the notion of neutrosophic-b-open set, pairwise neutrosophic-b-open set in neutrosophic bitopological spaces. We have investigated some of their basic properties and established relation between the other existing notions.

This research article lays the foundation to propose the new concept of neutrosophic soft cubic topology. Here we focus on the systematic study of neutrosophic soft cubic sets and deduce various properties which are induced by them. This enables us to introduce some equivalent characterizations and brings out the inter relations among them.

In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗b-open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗b-open set is generated with the help of neutrosophic soft semiopen and neutrosophic soft preopen sets.

International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications.