(α,β)-fuzzy soft int-groups over fuzzy soft interior ideals

The aim of the paper is to lay a foundation for providing a soft fuzzy algebraic tool in considering many problems that contain uncertainties. In order to provide these soft fuzzy algebraic structures, the notion of (α,β)-fuzzy soft int-groups which is a generalization of that fuzzy soft groups is provided. By introducing the notion soft fuzzy cosets, soft fuzzy quotient groups based on (α,β)-fuzzy soft interior ideals are established. Finally, isomorphism theorems of (α,β)-fuzzy soft int-groups related to invariant fuzzy soft sets are discussed.