  New deformed affine algebras A_{\hbar,\eta}(\hat{g}) are defined for any
simply-laced classical Lie algebra g, which are generalizations of the algebra
A_{\hbar,\eta}(\hat{sl_2}) recently proposed by Khoroshkin, Lebedev and
Pakuliak (KLP). Unlike the work of KLP, we associate to the new algebras the
structure of an infinite Hopf family of algebras in contrast to the one
containing only finite number of algebras introduced by KLP. Bosonic
representation for A_{\hbar,\eta}(\hat{g}) at level 1 is obtained, and it is
shown that, by repeated application of Drinfeld-like comultiplications, a
realization of A_{\hbar,\eta}(\hat{g}) at any positive integer level can be
obtained. For the special case of g=sl_{r+1}, (r+1)-dimensional evaluation
representation is given. The corresponding intertwining operators are defined
and the intertwining relations are also derived explicitly.
