半群中的(λ,μ)-模糊双理想与(λ,μ)-模糊拟理想

摘要

In order to generalize the notions of various fuzzy ideals in a semigroup, the concepts of (λ,μ)-fuzzy bi-ideal and (λ,μ) - fuzzy quasi-ideal are introduced.Some properties of such ideals are discussed and several equivalent conditions are obtained.At last,the characterizations of regular semigroups are given.%在一个半群中引入了(λ,μ),-模糊双理想和(λ,μ)-模糊拟理想的概念,研究了这些理想的基本性质,并给出了它们的一些等价条件.最后,利用(λ,μ)-模糊双理想和(λ,μ)-模糊拟理想,刻画了正则半群的特征.