International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/435 2020 2020 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria M.A. Ibrahim Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria A.A.A. Agboola Department of Physics, Federal University of Agriculture, Abeokuta, Nigeria B.S. Badmus Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria S.A. Akinleye 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 2020 97 109 10.54216/IJNS.070202 https://www.americaspg.com/articleinfo/21/show/435