W. A. Dudek, M. Shabir and M. Irfan Ali discussed the properties of (${alpha},{eta}$)-fuzzy ideals of hemirings in [9]. In this paper, we discuss the generalization of their results on (${alpha},{eta}$)-fuzzy ideals of hemirings. As a generalization of the notions of $({alpha},;in{vee}q)$-fuzzy left (right) ideals, $({alpha},;in{vee}q)$-fuzzy h-ideals and $({alpha},;in{vee}q)$-fuzzy k-ideals, the concepts of $({alpha},;in{vee}q_m)$-fuzzy left (right) ideals, $({alpha},;in{vee}q_m)$-fuzzy h-ideals and $({alpha},;in{vee}q_m)$-fuzzy k-ideals are defined, and their characterizations are considered. Using a left (right) ideal (resp. h-ideal, k-ideal), we construct an $({alpha},;in{vee}q_m)$-fuzzy left (right) ideal (resp. $({alpha},;in{vee}q_m)$-fuzzy h-ideal, $({alpha},;in{vee}q_m)$-fuzzy k-ideal). The implication-based fuzzy h-ideals (k-ideals) of a hemiring are considered.