Redefined generalized fuzzy ideals of near-rings

Abstract

With a new idea, we redefine generalized fuzzy subnear-rings (ideals) of a near-ring and investigate some of its related properties. Some new characterizations are given. In particular, we introduce the concepts of strong prime (or semiprime) (∈, ∈ ∨ q)-fuzzy ideals of near-rings, and discuss the relationship between strong prime (or semiprime) (∈, ∈ ∨ q)-fuzzy ideals and prime (or semiprime) (∈, ∈ ∨ q)-fuzzy ideals of near-rings.