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.

“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. In this issue: On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology, New Results on Pythagorean Neutrosophic Open Sets in Pythagorean Neutrosophic Topological Spaces, Comparative Mathematical Model for Predicting of Financial Loans Default using Altman Z-Score and Neutrosophic AHP Methods.

N-Norm and N-conorm are extended in Neutrosophic Logic/Set.

It is widely known among the Frontiers of physics, that “sweeping under the rug” practice has been quite the norm rather than exception. In other words, the leading paradigms have strong tendency to be hailed as the only game in town.

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

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.

"Never go into the deep parts of the forest, for there are many dangers there, and they will ensnare your soul." Serafina has never had a reason to disobey her pa and venture beyond the grounds of the Biltmore estate.There's plenty to explore in her grand home, although she must take care to never be seen. None of the rich folk upstairs know that Serafina exists; she and her pa, the estate's maintenance man, have secretly lived in the basement for as long as Serafina can remember. But when children at the estate start disappearing, only Serafina knows who the culprit is:a terrifying man in a black cloak who stalks Biltmore's corridors at night. Following her own harrowing escape, Serafina risks everything by joining forces with Braeden Vanderbilt, the young nephew of the Biltmore's owners. Braeden and Serafina must uncover the Man in the Black Cloak's true identity...before all of the children vanish one by one. Serafina's hunt leads her into the very forest that she has been taught to fear. There she discovers a forgotten legacy of magic, one that is bound to her own identity. In order to save the children of Biltmore, Serafina must seek the answers that will unlock the puzzle of her past.