An Introduction to NeutroHyperVector Spaces

The aim of this paper is to combine the notion of NeutroAlgebra, that includes the partiality and indeterminacy in the operations and axioms of algebraic structures, with algebraic hyperstructures. In this regard, a NeutroHyperVector space is introduced and various examples are given. Next, some types of linear transformations between NeutroHyperVector spaces are presented and some properties of mentioned concepts are studied. Finally, by giving a suitable field, the Cartesian product of NeutroHyperVector spaces over a common field is constructed, under certain conditions, and supported by interesting examples