Soft Vectors in Soft Hypervector Spaces

Abstract

We study sum and scalar product of soft sets over hypervector spaces and obtain an equivalent condition, based on defined concepts, whenever a soft set over a hypervector space is a soft hypervector space. Also we present the notion of soft vectors belonging to a soft hypervector space and investigate some basic related results. Finally, we offer a connection between the notion of linearly independence in hypervector spaces and soft vectors of soft hypervector spaces, for next studies.