Generalized fuzzy ideals in semigroups

Abstract: In this paper, the concepts of (λ,μ)-fuzzy bi-ideal and (λ,μ)-fuzzy quasi-ideal were introduced which can be regarded as a generalization of conmen correspondence concepts, and some properties of (λ,β)-fuzzy bi-ideal and (λ,μ)-fuzzy quasi-ideal were discussed. At last, the regular semigroup was characterised by (λ,β)-fuzzy bi-ideal and (λ,μ)-fuzzy quasi-ideal.