1
Deparment of Mathematics, Bananri Amman Institute of Technology, Sathyamangalam, TN, India
(rishwanthpari@gmail.com)
2
Deparment of Mathematics, Bananri Amman Institute of Technology, Sathyamangalam, TN, India
(karthikamuthusamy1991@gmail.com)
3
School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala - 147004, Punjab, India
(harishg58iitr@gmail.com)
4
College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark
(jafaripersia@gmail.com)
5
Mathematics, Physics, and Natural Science Division, University of New Mexico,705 Gurley Avenue, Gallup, NM 87301,India
(fsmarandache@gmail.com)
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; α -supra open set;αψ-supra open set;αψ-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.
Style | # |
---|---|
MLA | Mani Parimala, Muthusamy Karthika, Harish Garg, Saeid Jafari, Florentin Smarandache. "On neutrosophic αψ -supra open sets." International Journal of Neutrosophic Science, Vol. 19, No. 3, 2022 ,PP. 47-52 (Doi : https://doi.org/10.54216/IJNS.190305) |
APA | Mani Parimala, Muthusamy Karthika, Harish Garg, Saeid Jafari, Florentin Smarandache. (2022). On neutrosophic αψ -supra open sets. Journal of International Journal of Neutrosophic Science, 19 ( 3 ), 47-52 (Doi : https://doi.org/10.54216/IJNS.190305) |
Chicago | Mani Parimala, Muthusamy Karthika, Harish Garg, Saeid Jafari, Florentin Smarandache. "On neutrosophic αψ -supra open sets." Journal of International Journal of Neutrosophic Science, 19 no. 3 (2022): 47-52 (Doi : https://doi.org/10.54216/IJNS.190305) |
Harvard | Mani Parimala, Muthusamy Karthika, Harish Garg, Saeid Jafari, Florentin Smarandache. (2022). On neutrosophic αψ -supra open sets. Journal of International Journal of Neutrosophic Science, 19 ( 3 ), 47-52 (Doi : https://doi.org/10.54216/IJNS.190305) |
Vancouver | Mani Parimala, Muthusamy Karthika, Harish Garg, Saeid Jafari, Florentin Smarandache. On neutrosophic αψ -supra open sets. Journal of International Journal of Neutrosophic Science, (2022); 19 ( 3 ): 47-52 (Doi : https://doi.org/10.54216/IJNS.190305) |
IEEE | Mani Parimala, Muthusamy Karthika, Harish Garg, Saeid Jafari, Florentin Smarandache, On neutrosophic αψ -supra open sets, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 3 , (2022) : 47-52 (Doi : https://doi.org/10.54216/IJNS.190305) |