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\((\in,\in\!\vee q)\)-fuzzy subnear-rings and ideals. (English) Zbl 1084.16040

Summary: Our aim in this paper is to introduce and study the new sort of fuzzy subnear-ring (ideal and prime ideal) of a near-ring called \((\in,\in\!\vee q)\)-fuzzy subnear-ring (ideal and prime ideal). These fuzzy subnear-rings (ideals) are characterized by their level ideals. Finally, we give a generalization of \((\in,\in\!\vee q)\)-fuzzy subnear-rings (ideals).

MSC:

16Y99 Generalizations
16Y30 Near-rings
16D25 Ideals in associative algebras
20N25 Fuzzy groups
03E72 Theory of fuzzy sets, etc.
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