Pawlak’s approximations in Γ-semihypergroups

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