Pawlakʹs approximations in 􀀀 -semihypergroups

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