Intersectional soft sets theory applied to generalized hypervector spaces

Abstract

Abstract The notion of θ-generalized int-soft subfields, θ-generalized int-soft algebras over θ-generalized int-soft subfields, and θ-generalized int-soft hypervector spaces are introduced, and their properties and characterizations are considered. In connection with linear transformations, θ-generalized int-soft hypervector spaces are discussed.