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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 19Issue 3PP: 47-52 • 2022

On neutrosophic αψ -supra open sets

Mani Parimala 1* ,
Muthusamy Karthika 1 ,
Harish Garg 2 ,
Saeid Jafari 3 ,
Florentin Smarandache 4
1Deparment of Mathematics, Bananri Amman Institute of Technology, Sathyamangalam, TN, India
2School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala - 147004, Punjab, India
3College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark
4Mathematics, Physics, and Natural Science Division, University of New Mexico,705 Gurley Avenue, Gallup, NM 87301,India
* Corresponding Author.
Received: June 12, 2022 Accepted: November 18, 2022

Abstract

Neutrosophic topological space is an extension of fuzzy topology. Neutrosophic topological space addresses

each element’s membership, indeterminacy and non-membership grades. Dropping an axiom in the neutrosophic

topological space produces a new topological space called neutrosophic supra topological space. Elements

in this neutrosophic supra topology are neutrosophic sets. We established the neutrosophic αψ-supra

open set in neutrosophic supra topological spaces in this paper. Also, we investigate the properties of the newly

defined set. Neutrosophic αψ -supra continuity is introduced and studied subsequently.

Keywords

Neutrosophic supra topology &alpha -supra open set &alpha &psi -supra open set &alpha &psi -supra continuous map.

References

[1] K. T. Atanassov, Intuitionstic fuzzy sets, Fuzzy sets and systems, vol. 20, pp.87-96, 1986.

[2] D. Coker, An introduction to fuzzy topological spaces, Fuzzy sets and systems, vol. 88, pp. 81-89,1997.

[3] R.Dhavaseelan,M. Ganster,S. Jafari, & M. Parimala, On neutrosophic α-supra open sets and neutrosophic

α-supra continuous functions. New Trends in Neutrosophic Theory and Applications ,vol. 2, pp.289-297,

2018.

[4] R. Dhavaseelan,M. Parimala, S. Jafari, & F. Smarandache, On neutrosophic semi-supra open set and

neutrosophic semi-supra continuous functions. Neutrosophic sets and system, vol. 16, pp.39-43, 2017.

[5] M. Parimala, M. Karthika, Saeid Jafari, Florentin Smarandache and A.A. El-Atik, Neutrosophic αψ-

connectedness,Journal of Intelligent & Fuzzy Systems, vol. 38, pp.853 - 857,2020.

[6] G. Jayaparthasarathy,V.L. Flower, M. A Dasan, Neutrosophic supra topological applications in data mining

process, Neutrosophic Sets and Systems, vol.27,pp. 80-97,2019.

[7] M. Parimala, R. Jeevitha, S. Jafari, F. Smarandache and R. Udhayakumar. Neutrosophic αψ-

Homeomorphism in Neutrosophic Topological Spaces, Information,vol.9,187, pp.1-10,2018.

[8] M. Parimala, M. Karthika, R. Dhavaseelan, S. Jafari. On neutrosophic supra pre-continuous functions

in neutrosophic topological spaces, New Trends in Neutrosophic Theory and Applications , vol.2, pp.

371-383, 2018.

[9] M. Parimala, M. Karthika, S. Jafari, F. Smarandache, R. Udhayakumar. Decision-Making via Neutrosophic

Support Soft Topological Spaces. Symmetry, vol.10,pp. 1-10, 2018.

[10] M. Parimala, F. Smarandache, S. Jafari, R. Udhayakumar, On Neutrosophic αψ -Closed Sets, Information,

vol. 9, 103,pp. 1-7, 2018.

[11] A. A. Salama, S. A. Alblowi, Neutrosophic Set and Neutrosophic Topological Spaces, IOSR J. Math.,

vol.3, pp.31-35, 2012.

[12] F. Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy,

Neutrosophic Logic Set, Probability and Statistics; University of New Mexico, Gallup, NM, USA,

(2002).

[13] F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic

Probability, American Research Press, Rehoboth, NM, USA, (1999).

[14] L. A. Zadeh, Fuzzy Sets, Information and Control,vol. 18, pp.338-353, 1965.

Cite This Article

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Parimala, Mani, Karthika, Muthusamy, Garg, Harish, Jafari, Saeid, Smarandache, Florentin. "On neutrosophic αψ -supra open sets." International Journal of Neutrosophic Science, vol. Volume 19, no. Issue 3, 2022, pp. 47-52. DOI: https://doi.org/10.54216/IJNS.190305
Parimala, M., Karthika, M., Garg, H., Jafari, S., Smarandache, F. (2022). On neutrosophic αψ -supra open sets. International Journal of Neutrosophic Science, Volume 19(Issue 3), 47-52. DOI: https://doi.org/10.54216/IJNS.190305
Parimala, Mani, Karthika, Muthusamy, Garg, Harish, Jafari, Saeid, Smarandache, Florentin. "On neutrosophic αψ -supra open sets." International Journal of Neutrosophic Science Volume 19, no. Issue 3 (2022): 47-52. DOI: https://doi.org/10.54216/IJNS.190305
Parimala, M., Karthika, M., Garg, H., Jafari, S., Smarandache, F. (2022) 'On neutrosophic αψ -supra open sets', International Journal of Neutrosophic Science, Volume 19(Issue 3), pp. 47-52. DOI: https://doi.org/10.54216/IJNS.190305
Parimala M, Karthika M, Garg H, Jafari S, Smarandache F. On neutrosophic αψ -supra open sets. International Journal of Neutrosophic Science. 2022;Volume 19(Issue 3):47-52. DOI: https://doi.org/10.54216/IJNS.190305
M. Parimala, M. Karthika, H. Garg, S. Jafari, F. Smarandache, "On neutrosophic αψ -supra open sets," International Journal of Neutrosophic Science, vol. Volume 19, no. Issue 3, pp. 47-52, 2022. DOI: https://doi.org/10.54216/IJNS.190305
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