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International Journal of Neutrosophic Science
Volume 6 , Issue 1, PP: 08-21 , 2020 | Cite this article as | XML | Html |PDF


Single Valued Neutrosophic Filters

Authors Names :   Giorgio Nordo   1 *     Arif Mehmood   2     Said Broumi   3  

1  Affiliation :  MIFT - Department of Mathematical and Computer Science, Physical Sciences and Earth Sciences, Messina University, Italy

    Email :  giorgio.nordo@unime.it

2  Affiliation :  Department of Mathematics and Statistics, Riphah International University Sector I-14, Islamabad, Pakistan

    Email :  mehdaniyal@gmail.com

3  Affiliation :  Laboratory of Information Processing, Faculty of Science Ben M’sick, University Hassan II, Casablanca, Morocco

    Email :  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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Cite this Article as :
Giorgio Nordo , Arif Mehmood , Said Broumi, Single Valued Neutrosophic Filters, International Journal of Neutrosophic Science, Vol. 6 , No. 1 , (2020) : 08-21 (Doi   :  https://doi.org/10.54216/IJNS.060101)