Neutrosophic sober open sets: An overview

Authors

  • Subasree Ramachandran * Department of Mathematics, Ramco Institute of Technology, Rajapalayam, India. https://orcid.org/0000-0002-2685-7868
  • K BasariKodi Department of Mathematics, Ramco Institute of Technology, Rajapalayam, India.
  • Saeid Jafari College of Vestsjaelland South & Mathematical and Physical Science Foundation, 4200 Slagelse, Denmark.
  • K Subramanian Department of Mathematics, Ramco Institute of Technology, Rajapalayam, India.
  • R Poornima Department of Science and Humanities, Hindusthan College of Engineering and Technology, Coimbatore, India.
  • Alapati Varalakshmi Manipal Academy of Higher Education, Manipal, India.

https://doi.org/10.48313/uda.vi.65

Abstract

In this study, a new class of neutrosophic sets, known as Neutrosophic sober open sets in Neutrosophic topological spaces, is introduced, and its fundamental features are examined. After this, we create a new topology type, known as a neutrosophic sober topology, in order to study its relationships in more detail. The introduced neutrosophic sober open sets and the associated sober topology provide a structured framework that enriches neutrosophic topological spaces by refining openness through relational constraints. The developed interior and closure operators further confirm the internal consistency of this framework and its capability to capture nuanced topological behavior under indeterminacy. These results highlight the potential of neutrosophic sober structures for advancing generalized topology under uncertainty.  

Keywords:

Neutrosophic set, Neutrosophic Sober open set, Neutrosophic Sober topological space, NŠ(Cl) operator, NŠ(Int) operator

References

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Published

2025-06-16

Issue

Vol. 2 No. 2 (2025): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Ramachandran, S., BasariKodi , K., Jafari, S. ., Subramanian , K., Poornima , R., & Varalakshmi, A. . (2025). Neutrosophic sober open sets: An overview. Uncertainty Discourse and Applications, 2(2), 139-145. https://doi.org/10.48313/uda.vi.65

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