Generalized fuzzy ideals of near-rings

Abstract

The concept of \( (\bar \in ,\bar \in \vee \bar q) \)-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 \( (\bar \in ,\bar \in \vee \bar q) \)-fuzzy subnear-rings (ideals) of near-rings are described. Finally, some characterization of [µ]t is given by means of (∈,∈∨q)-fuzzy ideals.