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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.

Intersectional soft sets theory applied to generalized hypervector spaces