Abstract
This paper concerns the relationship between rough sets, is an element of,is an element of boolean OR q(k)-fuzzy sets, and the LA-semihypergroups. We proved that the lower approximation (l-approx) and the upper approximation (u-approx) of different hyperideals of LA-semihypergroups become again hyperideal and also provided some examples. We also provided a result which shows that, if theta is not a hyperideal of an LA-semihypergroup P, then its lower approximation is also not a hyperideal.