




Volume 34 • Number 3 • 2011 

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Generalized Fuzzy $h$Ideals of Hemirings
Xueling Ma, Jianming Zhan and Kar Ping Shum
Abstract.
The concept of $(\in,\in \vee q)$fuzzy $h$ideals of hemirings is introduced and some characterizations are described. We show that a hemiring $S$ is $h$hemiregular if and only if for any $(\in,\in \vee q)$fuzzy right$ h$ideal $F$ and $(\in,\in \vee q)$fuzzy left $h$ideal $G$, $F\circ_{0.5} G=F\cap_{0.5} G$. Finally, the concept of implicationbased fuzzy $h$ideals of hemirings is considered.
2010 Mathematics Subject Classification: 16Y60, 13E05, 03G25.
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