摘要
在(λ,μ)-反模糊子环与(λ,μ)-反模糊理想概念的基础上,利用(λ,μ)-模糊映射给出了环的(λ,μ)-反模糊同态的定义,进而探讨了(λ,μ)-反模糊同态下(λ,μ)-反模糊子环与(λ,μ)-反模糊理想的对应关系,最后建立了环的(λ,μ)-反模糊同态基本定理。
Based on the concept of (λ,μ)-anti-fuzzy subring and (λ,μ)-anti-fuzzy ideal, the concept of (λ,μ)-anti-fuzzy homomorphism of rings was given with the (λ,μ)-fuzzy mapping. Also, the corresponding relations of (λ,μ)-anti-fuzzy subring and (λ,μ)-anti-fuzzy ideal under (λ,μ)-anti-fuzzy homomorphism were discussed. Finally, the fundamental theorem of (λ,μ)-anti-fuzzy homomorphism for rings were established.
作者
张蒙蒙
姚炳学
HANG Meng-meng;YAO Bing-xue(School of Mathematics Science, Liaocheng University, Liaocheng 252059 ,China)
出处
《模糊系统与数学》
北大核心
2019年第1期12-19,共8页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11471152)