Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New Insights

Authors

  • Huda E. Khalid Telafer University
  • Gonca D. GÃœNGÖR Çankırı Karatekin University, Faculty of Sciences, Department of Mathematics, Çankırı, Turkey
  • Muslim A. Noah Zainal Çankırı Karatekin University, Faculty of Sciences, Department of Mathematics, MSc. Student, Çankırı, Turkey

Keywords:

n^th-power set P^n (X);, SuperHyperNeutrosophic Topological Spaces (SHNTSs);, SuperHyperNeutrosophic Bi-Topological Spaces (SHNBi-TSs).

Abstract

This manuscript comes as first attempt in building a new type of neutrosophic topological spaces, the aim is to shed the light on a new structure known as the -power set  of a set, this new kind of sets enables authors to create and built new topology spaces called SuperHyperNeutrosophic Topological Spaces and SuperHyperNeutrosophic Bi-Topological Spaces , the -power sets  are the optimal representation for the applications in our real world. In this article, new concepts and theorems related to this new topologies have been discussed, which are pairwise neutrosophic open -power set, pairwise neutrosophic closed -power set, as well as, the closures and the interiors are defined with their properties. Many of relations for these concepts have been introduced.

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Published

2022-08-01

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

E. Khalid, H., D. GÜNGÖR, G. ., & A. Noah Zainal, M. (2022). Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New Insights. Neutrosophic Sets and Systems, 51, 33-45. https://fs.unm.edu/nss8/index.php/111/article/view/2347