  Hysteresis behaviors of the binary alloy system represented by the formula
$A_c B_{1-c}$ have been investigated within the framework of EFT. The system
consists of type A atoms (spin-$1$) with concentration $c$ and type B atoms
(spin-$1/2$) with concentration $1-c$. After giving the phase diagrams, we
focused on the different type of hysteresis behaviors in the system.
Especially, the mechanisms giving rise to double hysteresis behavior have been
explained, which appear at large negative values of the crystal field and low
temperatures. It has been observed that binary alloy system could exhibit DH
behavior in region $0<c<0.557$. Besides, dependence of hysteresis loop area,
coercive field and remanent magnetization on the concentration has been
investigated.
