  The main goal of this paper, present the concepts of rough BO/BH/Z- Algebra
as extended of the concept of BO/BH/Z-algebra respectively. The other goal is
to consider the (strong) set-valued mapping in these algebraic structures. The
concept of a (strong) set-valued BO/BH/Z-morphism in BO/BH/Z algebras is
investigated with several properties. Using the concept of generalized
approximation space and ideal of BO/BH/Z-algebra, we consider another type of
generalized lower and upper approximations based on the ideal. In addition,
some properties are studied.
