Saeed Rasouli - Department of Mathematics, College of science, Persian Gulf University, Bushehr, ۷۵۱۶۹۱۳۸۱۷, Iran

The paper is devoted to concern a relationship between rough set theory and universal algebra. Notions of lower and upper rough approximations on an algebraic structure induced by an ideal are introduced and some of their properties are studied. Also, notions of rough subalgebras and rough ideals with respect to an ideal of an algebraic structure, which is an extended notion of subalgebras and ideals in an algebraic structure, are introduced and investigated.

rough set, approximation, universal algebra, subalgebra, rough subalgebra, ideal, rough ideal