群的θ-模糊同态  

θ-fuzzy homomorphism of groups

作　　者：郝翠霞[1] 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：《山东大学学报（理学版）》2014年第3期51-56,62,共7页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11226041)

摘　　要：提出了一种新的θ-模糊映射,并且利用该θ-模糊映射给出了群的θ-模糊同态的定义,进而研究了θ-模糊同态下(λ,μ)-模糊正规子群间的对应关系及若干性质,最后建立了θ-模糊同态基本定理。The concepts of θ-fuzzy mapping and θ-fuzzy homomorphism of groups are introduced. Some properties of theθ-fuzzy homomorphism are studied, and the relationships between the （λ,μ）-fuzzy normal subgroups underθ-fuzzy homomorphism are discussed. Finally, the fundamental theorem of θ-fuzzy homomorphism is established.

关 键 词：(λ μ)-模糊正规子群 θ-模糊映射 θ-模糊同态 

分 类 号：O153[理学—数学]