International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/427 2020 2020 MIFT - Department of Mathematical and Computer Science, Physical Sciences and Earth Sciences, Messina University, Italy Giorgio Nordo Department of Mathematics and Statistics, Riphah International University Sector I-14, Islamabad, Pakistan Arif Mehmood Laboratory of Information Processing, Faculty of Science Ben M’sick, University Hassan II, Casablanca, Morocco Said Broumi 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 2020 08 21 10.54216/IJNS.060101 https://www.americaspg.com/articleinfo/21/show/427