aspg-21-427-1791468641 20261008141041 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 6 1 Giorgio Nordo MIFT - Department of Mathematical and Computer Science, Physical Sciences and Earth Sciences, Messina University, Italy Arif Mehmood Department of Mathematics and Statistics, Riphah International University Sector I-14, Islamabad, Pakistan Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’sick, University Hassan II, Casablanca, Morocco 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. 2020 08 21 427 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.060101 https://www.americaspg.com/journal/21/article/427 https://www.americaspg.com/storage/9120.pdf