  We introduce the notion of relative averaging operators on Hom-associative
algebras with a representation. Relative averaging operators are twisted
generalizations of relative averaging operators on associative algebras. We
give two characterizations of relative averaging operators of Hom-associative
algebras via graphs and Nijenhuis operators. A (homomorphic) relative averaging
operator of Hom-associative algebras with respect to a given representation
gives rise to Hom-associative (tri)dialgebras. By admissibility, a Hom-Jordan
(tri)dialgebra and a Hom-(tri)Leibniz algebra can be obtained from
Hom-associative (tri)dialgebra.
