  A theoretical investigation has been made to study the modulation
stability/instability of three-dimensional dust-ion-acoustic wave packets in
the warm magnetized complex plasma system in the presence of nonthermal
distributed electrons and positrons species. The set of equations describing
our plasma system has been reduced to a (3+1)-dimensional nonlinear
Schr\"odinger equation by using the reductive perturbation method that is valid
for finite but small amplitude limits. It is observed that both nonlinear and
dispersive coefficients of (3+1)-dimensional nonlinear Schr\"odinger equation
are significantly modified by the external magnetic field and transverse
velocity perturbation. The regions of stable and unstable for the modulated
dust-ion-acoustic waves have been examined numerically. Moreover, the
dependence of modulation instability and rogue waves on the relevant plasma
parameters is discussed. The implications of our theoretical results in space
and laboratories magnetized dusty plasma medium is briefly discussed.
