A new generalization of (epsilon, epsilon v q)-fuzzy subrings and ideals

Abstract

Jun et al. [7] introduced more general form, so called δ-quasi-coincident with a fuzzy set, of ''quasi-coincident with'' relation (q) of a fuzzy point with a fuzzy set. Using this notion, the concepts of (∈ ,∈ ∨ q₀^δ)-fuzzy subrings/ideals, (∈ ,∈ ∨ q₀^δ)-fuzzy radicals and (∈ ,∈ ∨ q₀^δ)-fuzzy coset of a fuzzy set determined by an element of a ring are introduced, and related properties are investigated.