Abstract
In this paper, we consider the $$(\in_{\gamma},\in_{\gamma} \vee \; \hbox{q}_{\delta})$$ -fuzzy and $$(\overline{\in}_{\gamma},\overline{\in}_{\gamma} \vee \; \overline{\hbox{q}}_{\delta})$$ -fuzzy subnear-rings (ideals) of a near-ring. Some new characterizations are also given. In particular, we introduce the concepts of (strong) prime $$(\in_{\gamma},\in_{\gamma} \vee \; \hbox{q}_{\delta})$$ -fuzzy ideals of near-rings and discuss the relationship between strong prime $$(\in_{\gamma},\in_{\gamma} \vee \; \hbox{q}_{\delta})$$ -fuzzy ideals and prime $$(\in_{\gamma},\in_{\gamma} \vee \; \hbox{q}_{\delta})$$ -fuzzy ideals of near-rings.
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