Fuzzy h-ideals in h-hemiregular and h-semisimple $$\Upgamma$$-hemirings

In this paper, we introduce the concepts of some kinds of fuzzy h-ideals in $$\Upgamma$$-hemirings and obtain some of their related properties. In particular, the characterizations of prime fuzzy h-ideals in $$\Upgamma$$-hemirings are discussed. Finally, we show that the h-hemiregular and h-semisimple $$\Upgamma$$-hemirings can be described by using these kinds of fuzzy h-ideals.

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