Characterization of vague hyper soft alpha open sets

Abstract

In our work, we defined new operations in a new way in connection with vague hyper soft sets. These operations are vague hyper soft sets, vague hyper soft subsets, vague hyper soft complements, vague hyper soft null sets, vague hyper soft absolute sets, vague hyper soft union and vague hyper soft intersection. On the basis of these new operations vague hyper soft topology is defined. In addition, the concept of some generalized vague hyper soft open sets are reflected in vague hyper soft topology. Among these generalized vague hyper soft open sets vague hyper soft α-open set is selected to produce different structures. Finally, on the basis of this vague hyper soft α-open set some more results are addressed. Non-validity of some results are diffused with appropriate examples.