  The author established the affine Orlicz Polya-Szego principle for
log-concave functions and conjectured that the principle can be extended to the
general Orlicz Sobolev functions. In this paper, we confirm this conjecture
completely. An affine Orlicz Polya-Szego principle, which includes all the
previous affine Polya-Szego principles as special cases, is formulated and
proved. As a consequence, an Orlicz-Petty projection inequality for star bodies
is established.
