半群中的(λ,μ)-模糊理想(英文)  

(λ,μ)-fuzzy Ideals in Semigroups

作　　者：姚炳学[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《模糊系统与数学》2009年第1期123-127,共5页Fuzzy Systems and Mathematics

基　　金：This research was supported by The Key Project of Chinese Ministry of Education(206089)

摘　　要：在半群中给出了(,λμ)-模糊子半群和各种(,λμ)-模糊理想的概念,讨论了它们的一些性质,并给出了各种(,λμ)-模糊理想的充分必要条件。In this paper, we introduce the concepts of （λ,μ）-fuzzy subsemigroup and （λ,μ）-fuzzy ideal in semigroups which can be regarded as generalizations of Kuroki＇s correspondence concepts. We also discuss .some properties of （λ,μ）-fuzzy subsemigroups and （λ,μ）-fuzzy ideals and give some necesry and sufficient conditions of various （λ,μ）-fuzzy ideals.

关 键 词：(λ μ)-模糊子半群 (λ μ)-模糊左理想 (λ μ)-模糊右理想 (λ μ)-模糊理想 (λ μ)-模糊双理想 

分 类 号：O159[理学—数学]