International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 19 , Issue 3 , PP: 47-52, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

On neutrosophic αψ -supra open sets

Mani Parimala 1 * , Muthusamy Karthika 2 , Harish Garg 3 , Saeid Jafari 4 , Florentin Smarandache 5

  • 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)
  • Doi: https://doi.org/10.54216/IJNS.190305

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