[en] A theoretical study has been presented to examine the properties of the nonlinear dust-ion-acoustic (DIA) rogue waves in a dusty plasma composed of positive warm ions fluid, immobile negative dust, and non-Maxwellian electrons. By utilizing reductive perturbation method, the Gardner/Extended Korteweg-de Vries equation is deduced. The Extended Korteweg-de Vries (EKdV) equation was converted to nonlinear Schrödinger equation (NLSE) by using a suitable transformation to study the regions of DIA rogue wave propagation. The alteration of the properties of the rogue waves with pertinent plasma parameters is investigated, such as the temperature ratio of the ions-to-electrons, the negative charge located on the dust grains and nonthermality/superthermality/nonextensivity of electrons. And add to that, the first- and second-order dust-ion-acoustic rogue waves nonlinear structures in the system are examined. It is confirmed that the real enforcement of our results is in laboratory experiments and in space plasma (e.g., Earth’s magnetosphere, auroral region, heliospheric environments, solar atmosphere, etc.).