  In this paper we study the quantum cosmology of homogeneous and isotropic
cosmology, via the Weyl-Wigner-Groenewold-Moyal formalism of phase space
quantization, with perfect fluid as a matter source. The corresponding quantum
cosmology is described by the Moyal-Wheeler-DeWitt equation which has exact
solutions in Moyal phase space, resulting in Wigner quasiprobability
distribution functions peaking around the classical paths for large values of
scale factor. We show that the Wigner functions of these models are peaked
around the non-singular universes with quantum modified density parameter of
radiation.
