Characterizations of semigroups by the properties of their (∈_γ,∈_γ vq_δ)-fuzzy ideals

摘要

Generalizing the notions of (∈, ∈ vq) -fuzzy left (right) ideal, (∈, ∈ vq) -fuzzy quasi-ideal, and (∈, ∈ vq)-fuzzy bi-ideal, the notions of (∈_γ,∈_γ vq_δ)-fuzzy left (right) ideal, (∈_γ,∈_γ vq_δ)-fuzzy quasi-ideal and (∈_γ,∈_γ vq_δ) -fuzzy bi-ideal of semigroups are defined. Regular, intra regular and semisimple semigroups are characterized by the properties of these fuzzy ideals.