International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/513 2020 2020 On Refined Neutrosophic Hypervector Spaces 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 This paper presents the refinement of neutrosophic hypervector spaces and studies some of its basic properties. Some basic definitions and important results are presented. The paper also establishes the existence of a good linear transformation between a weak refined neutrosophic hypervector space V (I1; I2) and a weak neutrosophic hypervector space V (I). 2020 2020 50 71 10.54216/IJNS.080105 https://www.americaspg.com/articleinfo/21/show/513