Pawlak’s approximations in ΓΓ-semihypergroups

The ΓΓ-semihypergroup is a generalization of a semigroup, a generalization of a semihypergroup, and a generalization of a ΓΓ-semigroup. In this paper, we discuss the roughness of ΓΓ-subsemihypergroups and ΓΓ-hyperideals (bi-ΓΓ-hyperideals) inΓΓ-semihypergroups. In addition, we consider rough sets with respect to the idempotent regular relations in a quotient ΓΓ-semihypergroup. The upper approximations with respect to Green’s equivalence relations are derived in the context of ΓΓ-subsemihypergroups and ΓΓ-hyperideals.