Abstract

(ϵ, ϵ v q)-fuzzy subrings and ideals of a ring are defined. The concepts of (ϵ, ϵ v q)-fuzzy semiprime, prime, semi-primary, primary and maximal ideals are introduced and characterization of such fuzzy ideals are obtained. (ϵ, ϵ v q)-fuzzy cosets determined by (ϵ, ϵ v q)-fuzzy ideals and (ϵ, ϵ v q)-fuzzy radicals of (ϵ, ϵ v q)-fuzzy ideals are discussed.

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