aspg-21-337-1791475369 20261008160249 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 4 1 M.A. Ibrahim, A.A.A. Agboola , E.O. Adeleke, S.A. Akinleye Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria 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 20 35 337 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.040103 https://www.americaspg.com/journal/21/article/337 https://www.americaspg.com/storage/1782.pdf