  The operator semirings of a $\Gamma$-semiring have been brought into use to
study $\Gamma$-semiring in terms of fuzzy subsets. This is accomplished by
obtaining various relationships between the set of all fuzzy ideals of a
$\Gamma$-semiring and the set of all fuzzy ideals of its left operator semiring
such as lattice isomorphism between the sets of fuzzy ideals of a
$\Gamma$-semiring and its operator semirings.
