Generalized fuzzy ideals of near-rings |
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Authors: | Jian-ming Zhan B Davvaz |
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Institution: | [1]Dept. of Math., Hubei Institute for Nationalities, Enshi 445000, China [2]Dept. of Math., Yazd University, Yazd, Iran |
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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. |
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Keywords: | near-ring subnear-ring (ideal) |
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