Jianming Zhan - Department of Mathematics, Hubei University for Nationalities, P. O. Box ۴۴۵۰۰۰, Enshi, Hubei Province, China
- - - Department of Mathematics, Hubei University for Nationalities, P. O. Box ۴۴۵۰۰۰, Enshi, Hubei Province, China

In this paper, the concepts of M-fuzzy left h-ideals (right h-ideals, h-bi-ideals, h-quasi-ideals) in M-Γ-hemirings are introduced. Some new properties of these kinds of M-fuzzy hideals are also given. Finally, we show that h-hemiregular, hintra-hemiregular and h-quasi-hemiregular M-Γ-hemirings can be described by M-fuzzy left(right) h-ideals, M-fuzzy h-bi-ideals and M-fuzzy h-quasi-ideals, respectively.

M-Γ-hemiring, M-fuzzy (h-, h-bi-, h-quasi-) ideal, (h-hemiregular, h-intrahemiregular, h-quasi-hemiregular) M-Γ-hemiring