Mathematics and Computational Sciences

An interpretation of separation axioms via Neutrosophic Λ_P-open sets

Document Type : Original Article

Authors

Marimuthu Karthika
Casmir Reena

Department of Mathematics, St. Mary’s College(Autonomous), Thoothukudi, Tamil Nadu, India (Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli)

https://doi.org/10.30511/mcs.2025.2075307.1550
Abstract
The main purpose of this paper is to present a novel concept of separation axioms in neutrosophic topological spaces by means of neutrosophic N_tr Λ_P-open sets. The concepts of neutrosophic N_tr Λ_P-T_i spaces(i=0,1,2) are introduced and their properties are studied. 

Keywords

neutrosophic N_tr &Lambda
_P-open, neutrosophic N_tr &Lambda
_P-T_0 space, neutrosophic N_tr &Lambda
_P-T_1 space, neutrosophic N_tr &Lambda
_P-T_2 space

Subjects

[1] Acikgoz, A., Esenbel, F. (2021). A look on separation axioms in neutrosophic topological spaces. Infinite Study. 
[2] Dey, S., Ray, G. C. (2023). Pre-separation Axioms in Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, 22(02), 15-28.
[3] Reena, C., Karthika, M. On Neutrosophic Λ P −Open sets in Neutrosophic Topological Space. Indian Journal of Natural Sciences, Vol 16(89) part-2, 92268-92278.
[4] Reena, C., Karthika, M. On Neutrosophic Λ P −neighbourhood and its Functions in Neutrosophic Topological Space. Indian Journal of Natural Sciences,15(83),2024,72850-72860.
[5] Reena, C., Karthika, M. (2024). On Neutrosophic Λ P −Homeomorphism in Neutrosophic Topological Spaces. South East Journal of Mathematics and Mathematical Sciences, Vol 20(1), 389-404.
[6] Salama, A. A., Alblowi, S. A. (2012). Neutrosophic set and neutrosophic topological spaces.
Mathematics and Computational Sciences
Volume 7, Issue 1
Winter 2026
Pages 56-64

  • Receive Date 21 October 2025
  • Revise Date 22 November 2025
  • Accept Date 28 November 2025

Home

Submit Manuscript

Reviewers

Contact Us