Neutrosophic Semi βF-Contra Continuity in a Neutrosophic Topological Space

Authors

  • K. Fayaz Ur Rahman Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai, India
  • N. Kalaivani Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai, India
  • G. Shanmugasundar Department of Mechanical Engineering, Sri Sairam Institute of Technology, Chennai, India https://orcid.org/0000-0002-5608-7737 (unauthenticated)
  • H. B. Michael Rajan Department of Mechanical Engineering, Kings College of engineering, Pudukkottai, India
  • Muniyandy Elangovan Department of Biosciences, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai, India

DOI:

https://doi.org/10.37256/cm.5220243802

Keywords:

neutrosophic topology, neutrosophic <i>S<sub>β</sub><sup>F</sup></i> closed set, neutrosophic <i>S<sub>β</sub><sup>F</sup></i>-continuity, <i>S<sub>β</sub><sup>F</sup></i>-continuity, neutrosophic <i>S<sub>β</sub><sup>F</sup></i>-contra continuity, neutrosophic strongly <i>S<sub>β</sub><sup>F</sup></i>-continuity contra continuity and neutrosophic <i>S<sub>β</sub><sup>F</sup></i>-contra irresolute

Abstract

The main intention of this article is to propose the theory of a neutrosophic SβF contra continuous function, neutrosophic strongly SβF continuous function, neutrosophic strongly SβF contra continuous function and neutrosophic SβF contra irresolute function in neutrosophic topological spaces. Further several properties based on the above concepts have been studied. Many theorems based on the above ideas have been proved with the suitable illustration. Further the relationship connecting neutrosophic SβF contra continuous function, neutrosophic strongly SβF continuous function, neutrosophic strongly SβF contra continuous function and neutrosophic SβF contra irresolute function are studied and illustrated. Moreover, various theorems based on compositions of functions have been proved. In addition to this, the product of two neutrosophic sets is defined and related theorems have been proved.

References

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Published

2024-06-19

Issue

Contemporary Mathematics, Volume 5 Issue 2 (2024), 1122-2592

Section

Research Article

License

Copyright (c) 2024 N. Kalaivani, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Neutrosophic Semi βF-Contra Continuity in a Neutrosophic Topological Space. Contemp. Math. [Internet]. 2024 Jun. 19 [cited 2025 Dec. 24];5(2):2165-72. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/3802