The mean field renormalization group approach has been used to investigate
the random mixed spin-1/2 Heisenberg ferromagnet in the two and three-dimen
sions. The model can describe an isotropic Heisenberg material doped at ran
dom with Ising-like anisotropy impurity atoms. The critical surfaces are di
splayed graphically in the complete parameter space. The behaviours observe
d by incorporating the effect of randomness in the d = 2 and d = 3 systems
are discussed.