  A nonlinear Schr\"{o}dinger equation (NLSE) has been derived by employing
reductive perturbation method for investigating the modulational instability of
dust-ion-acoustic waves (DIAWs) in a four-component plasma having stationary
negatively charged dust grains, inertial warm ions, and inertialess non-thermal
electrons and positrons. It is observed that under consideration, the plasma
system supports both modulationally stable and unstable domains, which are
determined by the sign of the dispersive and nonlinear coefficients of NLSE, of
the DIAWs. It is also found that the nonlinearity as well as the height and
width of the first and second-order rogue waves increases with the
non-thermality of electron and positron. The relevancy of our present
investigation to the observations in space plasmas is pinpointed.
