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.

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).