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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 2 , Issue 2 , PP: 82-88, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

On αω-closed sets and its connectedness in terms of neutrosophic topological spaces

M. Parimala 1 * , M. Karthika 2 , Florentin Smarandache 3 , Said Broumi 4

  • 1 Bannari Amman Institute of Technology, Sathyamangalam, India - (rishwanthpari@gmail.com)
  • 2 Bannari Amman Institute of Technology, Sathyamangalam, India - (Karthikamuthsamy1991@gmail.com)
  • 3 University of New Mexico, Gallup, USA - (fsmarandache@gmail.com)
  • 4 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco - (broumisaid78@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.020204

    Abstract

    The aim of this paper is to introduce the notion of neutrosophic αω-closed sets and study some of the prop-erties of neutrosophic αω-closed sets. Further, we investigated neutrosophic αω- continuity, neutrosophic αω-irresoluteness, neutrosophic αω connectedness and neutrosophic contra αω continuity along with exam-ples.

    Keywords :

    neutrosophic topology, neutrosophic &alpha , &omega , -closed set, neutrosophic &alpha , &omega , -continuous function and neutrosophic contra &alpha , &omega , -continuous mappings.

    References

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    [2] W. Al-Omeri,F. Smarandache,” New Neutrosophic Sets via Neutrosophic Topological Spaces. In Neu-trosophic Operational Research; Smarandache, F., Pramanik, S., Eds.; Pons Editions: Brussels, Bel-gium, 2017; Volume I, pp. 189-209.

    [3] I. Arokiarani, R. Dhavaseelan, S. Jafari and M. Parimala,” On some new notions and functions in neu-trosophic topological spaces,” Neutrosophic Sets and Systems, Volume 16, pp.16-19, 2017.

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    [9] M. Parimala and R. Devi,” Fuzzy αω-closed sets,” Annals of Fuzzy Mathematics and Informatics Vol-ume 6, No. 3, pp.625-632, 2013.

    [10] M. Parimala and R. Devi,” Intuitionistic fuzzy αω-connectedness between intuitionistic fuzzy sets,” International Journal of Mathematical Archive-3(2), pp.603 - 607, 2012.

    [11] M. Parimala, M. Karthika, R. Dhavaseelan, S. Jafari,” On neutrosophic supra pre-continuous func-tions in neutrosophic topological spaces,” New Trends in Neutrosophic Theory and Applications, Vol 2, pp.371-383, 2018.

    [12] M. Parimala, M. Karthika, S. Jafari, F. Smarandahe and R. Udhayakumar,”Decision-Making via Neu-trosophic Support Soft Topological Spaces,” symmetry, 10, pp.2-10, 2018.

    [13] M. Parimala, M. Karthika, S. Jafari, F. Smarandache, and R. Udhayakumar,”Neutrosophic Nano ideal topolgical structure,” Neutrosophic sets and systems,24, pp.70-76, 2018.

    [14] M. Parimala, M. Karthika, Saeid Jafari, Florentin Smarandache and A.A. El-Atik,”Neutrosophic αψ-connectedness,Journal of Intelligent & Fuzzy Systems, 38, pp.853–857, 2020.

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    Cite This Article As :
    Parimala, M.. , Karthika, M.. , Smarandache, Florentin. , Broumi, Said. On αω-closed sets and its connectedness in terms of neutrosophic topological spaces. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 82-88. DOI: https://doi.org/10.54216/IJNS.020204
    Parimala, M. Karthika, M. Smarandache, F. Broumi, S. (2020). On αω-closed sets and its connectedness in terms of neutrosophic topological spaces. International Journal of Neutrosophic Science, (), 82-88. DOI: https://doi.org/10.54216/IJNS.020204
    Parimala, M.. Karthika, M.. Smarandache, Florentin. Broumi, Said. On αω-closed sets and its connectedness in terms of neutrosophic topological spaces. International Journal of Neutrosophic Science , no. (2020): 82-88. DOI: https://doi.org/10.54216/IJNS.020204
    Parimala, M. , Karthika, M. , Smarandache, F. , Broumi, S. (2020) . On αω-closed sets and its connectedness in terms of neutrosophic topological spaces. International Journal of Neutrosophic Science , () , 82-88 . DOI: https://doi.org/10.54216/IJNS.020204
    Parimala M. , Karthika M. , Smarandache F. , Broumi S. [2020]. On αω-closed sets and its connectedness in terms of neutrosophic topological spaces. International Journal of Neutrosophic Science. (): 82-88. DOI: https://doi.org/10.54216/IJNS.020204
    Parimala, M. Karthika, M. Smarandache, F. Broumi, S. "On αω-closed sets and its connectedness in terms of neutrosophic topological spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 82-88, 2020. DOI: https://doi.org/10.54216/IJNS.020204

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