(λ,μ)-模糊子半群的(λ,μ)-模糊理想

(λ,μ)-fuzzy Ideas of (λ,μ)-fuzzy Semigroups

半群的模糊理想是一个很重要的概念。在本文中,在半群的(λ,μ)-模糊子半群和(λ,μ)-模糊理想的基础上,通过利用(λ,μ)-模糊子半群代替经典半群,引入了(λ,μ)-模糊子半群的(λ,μ)-模糊理想、(λ,μ)-模糊双理想及(λ,μ)-模糊内理想概念,讨论了它们的相关性质,并得到了若干等价条件。最后,在半群的同态映射下,建立了(λ,μ)-模糊子半群的各种(λ,μ)-模糊理想的对应定理。

Fuzzy ideals of a semigroup is one of the most important concepts in semigroup theory.Based on the concepts of(λ,μ)-fuzzy subsemigroups and(λ,μ)-fuzzy ideals of a semigroup,in this paper,by replacing a semigroup with a(λ,μ)-fuzzy subsemigroup,the concept of(λ,μ)-fuzzy ideals,(λ,μ)-fuzzy bi-ideals and(λ,μ)-fuzzy inner ideals of a(λ,μ)-fuzzy subsemigroup were introduced.The related properties and some equivalence conditions were obtained.At last,under the homomorphism of semigroups the corresponding theorems of various(λ,μ)-fuzzy ideals of a(λ,μ)-fuzzy subsemigroup were established.