  We construct operators t(z) in the elliptic algebra introduced by Foda et al.
${\cal A}_{q,p}({\hat sl}(2)_c)$. They close an exchange algebra when
p^m=q^{c+2} for m integer. In addition they commute when p=q^{2k} for k integer
non-zero, and they belong to the center of ${\cal A}_{q,p}({\hat sl}(2)_c)$
when k is odd. The Poisson structures obtained for t(z) in these classical
limits are identical to the q-deformed Virasoro Poisson algebra, characterizing
the exchange algebras at generic values of p, q and m as new ${\cal
W}_{q,p}(sl(2))$ algebras.
