On fuzzy h-ideals in \(\Upgamma\)-hemirings
By means of a kind of new idea, we introduce the concepts of some kinds of fuzzy h-ideals in \(\Upgamma\)-hemirings. Some new characterization theorems of these kinds of fuzzy h-ideals of a \(\Upgamma\)-hemiring are also given. In particular, we show that the h-hemiregular \(\Upgamma\)-hemirings can be described by using these kinds of fuzzy h-ideals.
h-hemiregular \(\upgamma\)-hemiring \((\in \in \! \vee\ \hbox{q})\)-fuzzy (h- h-bi- h-quasi-) ideal \((\overline{\in} \overline{\in} \vee\overline{q})\)-fuzzy (h- h-quasi-)ideal