In this paper, we give a characterization of the rough semiring (T, Δ , ∇). The order of a rough semiring is also derived. We present the idea of rough homomorphism on the set of all rough sets for the given information system together with the operations Praba Δ and Praba ∇. We illustrate these concepts through examples. © 2017, African Mathematical Union and Springer-Verlag Berlin Heidelberg.