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International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

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

    References

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    [12]     Latreche A., Barkat O., Milles S., Ismail F. Single valued neutrosophic mappings defined by single valued neutrosophic relations with applications. Neutrosophic Sets and Systems 1, pp. 203-220, 2020.

    [13]     Mehmood A., Nordo G., Zamir M., Park C., Nazia H., Nadeem F., Shamona J. Soft b-separation axioms inneutrosophic soft topological structures. Annals of Fuzzy Mathematics and Informatics 18, pp. 93–105, 2019.

    [14]     Mehmood A., Nadeem F., Nordo G., Zamir M., Park C., Kalsoom H., Jabeen S., Khan M.Y. Generalized neutrosophic separation axioms in neutrosophic soft topological spaces. Neutrosophic Sets and Systems 32 (1), pp. 38–51, 2020.

    [15]     Parimala M., Karthika M., Smarandache F., Broumi S., On αω-closed sets and itsconnectedness in terms ofneutrosophic topological spaces, International Journal of Neutrosophic Science 2 (2), pp. 82-88, 2020.

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    12 (2):193, 2020.

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

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