  The notion of $\Gamma$-semirings was introduced by Murali Krishna Rao
\cite{Rao} as a generalization of the notion of $\Gamma$-rings as well as of
semirings. We have known that the notion of $\Gamma$-semirings is a
generalization of the notion of semirings. In this paper, extending Kaushik,
Moin and Khan's work, we generalize the notion of generalized
bi-$\Gamma$-ideals of $\Gamma$-semirings and investigate some related
properties of generalized bi-$\Gamma$-ideals.
