Abstract: A new kind of fuzzy h-ideal (resp. h-bi-ideal,
h-quasi-ideal) of a G-hemiring, namely,
-fuzzy h-ideal (resp. h-bi-ideal,
h-quasi-ideal) is defined using “belongingness” and
“quasi-coincidence” and some characterization of them are given. The notion
of h-hemiregularity, h-intra-hemiregularity
are studied using
-fuzzy h-ideal (resp. h-bi-ideal,
h-quasi-ideal).