Abstract
In this paper, the concept of roughness in UP-algebras is introduced. We study the lower and upper approximations of UP-subalgebras and UP-ideals and prove that the lower/upper approximation of UP-subalgebra (resp., UP-ideals) is a UP-subalgebra (resp., UP-ideals). A connection between rough sets and UP-Algebras with their weak and strong ideals have also been taken under consideration and some related results have been shown.