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.

The concept of refined neutrosophic vector spaces was introduced by Ibrahim et al. in [20]
and the present paper is the continuation of the work. In the present paper, further studies on
neutrosophic vector spaces are presented. Specifically, linear dependence, independence,
bases and dimensions of refined neutrosophic vector spaces are studied with several results
and examples presented. Also, refined neutrosophic homomorphisms of refined
neutrosophic vector spaces are studied and existence of linear maps between weak refined …