Near-rings Characterized by Their (λ, θ)-fuzzy Quasi-ideals

摘要

In this paper, we introduce the notions of (λ, θ)-fuzzy subnear-rings and (λ, θ)-fuzzy ideals which can be regarded as the generalization of fuzzy subrings, fuzzy subnear-rings, (∈, ∈ ∨g)-fuzzy subrings, (∈, ∈ ∨q)-fuzzy subnear-rings, fuzzy ideals of rings, fuzzy ideals of near-rings, and (∈, ∈ ∨q)-fuzzy ideals of near-rings correspondence concepts. We have given examples which are (λ, θ)-fuzzy ideals (subnear-rings) but they are not fuzzy ideals (subnear-rings), (∈, ∈ ∨q)-fuzzy ideals (subnear-rings). We have also introduced the concepts of (λ, θ)-fuzzy quasi-ideals and (λ, θ)-fuzzy bi-ideals of near-rings. We have characterized near-rings through (λ, θ)-fuzzy quasi-ideals and (λ, θ)-fuzzy bi-ideals.