  This paper gives generalization of a notion of supplemented module. Here, we
utilize some algebraic properties like supplemented, amply supplemented and
local modules in order to obtain the generalization. Other properties that are
instrumental in this generalization are $D_{i}$, $SSP$ and $SIP$. If a module
$M$ is $Rad$-$D_{11}$-module and has $D_{3}$ property, then $M$ is said to be
completely-$Rad$-$D_{11}$-module ($C$-$Rad$-$D_{11}$-module). Similarly it is
for $M$ with $SSP$ property. We provide some conditions for a supplemented
module to be $C$-$Rad$-$D_{11}$-module.
