群的(λ,μ)-模糊同态  

(λ,μ)-Fuzzy Homomorphism of Group

作　　者：郝翠霞[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2013年第4期6-12,共7页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金资助项目(71140008)

摘　　要：模糊同态作为模糊代数学的重要概念,是相应经典概念的推广,它可以由不同的模糊映射产生.本文提出了(λ,μ)-模糊映射的概念,并且利用该(λ,μ)-模糊映射给出了群的(λ,μ)-模糊同态的定义,从而研究了(λ,μ)-模糊同态下(λ,μ)-模糊子群间的对应关系及若干性质,最后建立了(λ,μ)-模糊同态基本定理.Abstract Fuzzy homomorphism is a spread of the corresponding classical concept as an xmportant concept of fuzzy algebra, and it can be produced by different fuzzy mappings. This paper presents a con- cept of （λ,μ）-fuzzy mapping and gives the definition of （λ,μ）-fuzzy homomorphism of groups. What＇s more, it studies the relationships between the （λ,μ）-fuzzy subgroups and some properties under the （λ,μ）-fuzzy homomorphism. Finally, this paper establishes the fundamental theorem of （λ,μ）-fuzzy homo- morphism.

关 键 词：(λ μ)-模糊子群 (λ μ)-模糊映射 (λ μ)-模糊同态 

分 类 号：O159[理学—数学]