aspg-21-435-1791468617 20261008141017 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 7 2 M.A. Ibrahim Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria A.A.A. Agboola Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria B.S. Badmus Department of Physics, Federal University of Agriculture, Abeokuta, Nigeria S.A. Akinleye Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria The objective of this paper is to present the concept of a refined neutrosophic vector space. Weak(strong) refined neutrosophic vector spaces and subspaces, and, strong refined neutrosophic quotient vector spaces are studied. Several interesting results and examples are presented. It is shown that every weak (strong) refined neutrosophic vector space is a vector space and it is equally shown that every strong refined neutrosophic vector space is a weak refined neutrosophic vector space. 2020 97 109 435 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.070202 https://www.americaspg.com/journal/21/article/435 https://www.americaspg.com/storage/2869.pdf