International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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

Volume 6 , Issue 1 , PP: 08-21, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

Single Valued Neutrosophic Filters

Giorgio Nordo 1 * , Arif Mehmood 2 , Said Broumi 3

  • 1 MIFT - Department of Mathematical and Computer Science, Physical Sciences and Earth Sciences, Messina University, Italy - (giorgio.nordo@unime.it)
  • 2 Department of Mathematics and Statistics, Riphah International University Sector I-14, Islamabad, Pakistan - (mehdaniyal@gmail.com)
  • 3 Laboratory of Information Processing, Faculty of Science Ben M’sick, University Hassan II, Casablanca, Morocco - (broumisaid78@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.060101

    Abstract

    In this paper we give a comprehensive presentation of the notions of filter base, filter and ultrafilter on single valued neutrosophic set and we investigate some of their properties and relationships. More precisely, we discuss properties related to filter completion, the image of neutrosophic filter base by a neutrosophic induced mapping and the infimum and supremum of two neutrosophic filter bases.

     

    Keywords :

    neutrosophic set, single valued neutrosphic set, neutrosophic induced mapping, single valued neutrosophic filter, neutrosophic completion, single valued neutrosophic ultrafilter

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    12 (2):193, 2020.

    Cite This Article As :
    Nordo, Giorgio. , Mehmood, Arif. , Broumi, Said. Single Valued Neutrosophic Filters. Journal of International Journal of Neutrosophic Science, vol. 6, no. 1, 2020, pp. 08-21. DOI: https://doi.org/10.54216/IJNS.060101
    Nordo, G. Mehmood, A. Broumi, S. (2020). Single Valued Neutrosophic Filters. Journal of International Journal of Neutrosophic Science, 6( 1), 08-21. DOI: https://doi.org/10.54216/IJNS.060101
    Nordo, Giorgio. Mehmood, Arif. Broumi, Said. Single Valued Neutrosophic Filters. Journal of International Journal of Neutrosophic Science 6, no. 1 (2020): 08-21. DOI: https://doi.org/10.54216/IJNS.060101
    Nordo, G. , Mehmood, A. , Broumi, S. (2020) . Single Valued Neutrosophic Filters. Journal of International Journal of Neutrosophic Science , 6( 1) , 08-21 . DOI: https://doi.org/10.54216/IJNS.060101
    Nordo G. , Mehmood A. , Broumi S. [2020]. Single Valued Neutrosophic Filters. Journal of International Journal of Neutrosophic Science. 6( 1): 08-21. DOI: https://doi.org/10.54216/IJNS.060101
    Nordo, G. Mehmood, A. Broumi, S. "Single Valued Neutrosophic Filters," Journal of International Journal of Neutrosophic Science, vol. 6, no. 1, pp. 08-21, 2020. DOI: https://doi.org/10.54216/IJNS.060101