The aim of this paper is to introduced neutrosophic crisp supra topological spaces (NCSTS) and neutrosophic crisp supra bi and tri-topological spaces, new types of open and closed sets in neutrosophic crisp supra bi and tri-topological spaces, the closure and interior of neutrosophic crisp supra bi and tri-topological space, new concepts of open and closed sets, their properties are investigated.

The aim of this paper is to introduce the concepts of closure, interior, neighbourhood, base and local base of neutrosophic crisp supra topological spaces and some of its characterizations are investigated.

In this paper, we extend the neutrosophic crisp topological spaces into N–neutrosophic crisp topological spaces (Nnc-topological space). Moreover, we introduced new types of open and closed sets in N–neutrosophic crisp topological spaces. We also present Nncsemi (open) closed sets, Nnc-preopen (closed) sets and Nnc-α-open (closed) sets and investigate their basic properties.

In this paper, neutrosophic crisp bi-topological spaces, new types of open and closed sets in neutrosophic crisp bitopological spaces, the closure and interior neutrosophic crisp set and a new concept of open and closed sets are introduced. The basic properties of these types of open and closed sets and their properties are studied.

In this paper, we generalize the crisp topological spaces to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology.

The main idea of this research is to define a new neutrosophic crisp points in neutrosophic crisp topological space.

This manuscript holds the integral concepts presented by the previously published article called (Neutrosophic SuperHyper Bi-Topological Spaces). This essay contains new definitions related to the notion of SuperHyper Bi-Topological Spaces, such as SuperHyper Supra closure operator, the pairwise neutrosophic interior of the power set 𝑃𝑛1(𝑋), three cascade numerical examples demonstrate the NSHBI-TS, pairwise neutrosophic 𝑛𝑡ℎ-power sets as well as extra definitions, theorems, corollaries, and propositions.