Generalized Fuzzy $h$-Ideals of Hemirings
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3
Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website
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 implication-based fuzzy $h$-ideals of hemirings is considered.
Classification :
16Y60, 13E05, 03G25.
@article{BMMS_2011_34_3_a13,
author = {Xueling Ma and Jianming Zhan and Kar Ping Shum},
title = {Generalized {Fuzzy} $h${-Ideals} of {Hemirings}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2011},
volume = {34},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a13/}
}
Xueling Ma; Jianming Zhan; Kar Ping Shum. Generalized Fuzzy $h$-Ideals of Hemirings. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a13/