We introduce some (p,q)-deformations of the weight multiplicities for the representations of any simple Lie algebra g over the complex numbers. This is done by associating the indeterminate q to the positive roots of a parabolic subsystem of g and the indeterminate p to the remaining positive roots. When p=q, we so recover the usual Lusztig analogues of weight multiplicities. We then study the positivity of the coefficients in these double deformations and prove in particular a conjecture by Lee.