International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/337 2020 2020 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria M.A. Ibrahim, A.A.A. Agboola , E.O. Adeleke, S.A. Akinleye The objective of this paper is to study Neutrosophic Quadruple Hypervector Spaces and present some of their basic definitions and properties. This paper generalizes the concept of Neutrosophic Hypervector spaces by presenting their Neutrosophic Quadruple forms. Some notions such as Neutrosphic hypersubspaces, linear combination, linearly dependence and linearly independence are generalized. Some interesting results and examples to illustrate the new concepts introduced are presented. 2020 2020 20 35 10.54216/IJNS.040103 https://www.americaspg.com/articleinfo/21/show/337