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Generalized fuzzy ideals of near-rings
Authors:Jian-ming Zhan  B Davvaz
Institution:[1]Dept. of Math., Hubei Institute for Nationalities, Enshi 445000, China [2]Dept. of Math., Yazd University, Yazd, Iran
Abstract:The concept of $ (\bar \in ,\bar \in \vee \bar q) $ (\bar \in ,\bar \in \vee \bar q) -fuzzy subnear-rings (ideals) of a near-ring is introduced and some of its related properties are investigated. In particular, the relationships among ordinary fuzzy subnear-rings (ideals), (∈,∈∨q)-fuzzy subnear-rings (ideals) and $ (\bar \in ,\bar \in \vee \bar q) $ (\bar \in ,\bar \in \vee \bar q) -fuzzy subnear-rings (ideals) of near-rings are described. Finally, some characterization of μ] t is given by means of (∈,∈∨q)-fuzzy ideals.
Keywords:near-ring  subnear-ring (ideal)
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