摘要
先给出经典集合之间的模糊映射 ,模糊单射及模糊满射的定义 ,然后给出一个模糊子集在模糊映射之下的象和原象的定义 .最后给出了经典环之间的模糊同态的定义 ,证明了模糊子环的象和原象仍是模糊子环 ,推广了环的同态基本定理 .
Definitions of fuzzy mapping,fuzzy injection and fuzzy surjection are given between classical sets.Fuzzy image f(A) of a fuzzy set A and fuzzy inverse image f -1 (B) of a fuzzy set B under fuzzy mapping f are defined.In the end,fuzzy homomorphism of rings is given.It is proved fuzzy image of a fuzzy subring and fuzzy inverse image of a fuzzy subring are fuzzy subrings and the Fundamental Homomorphism Theorem of rings is generalized.
出处
《辽宁师范大学学报（自然科学版）》
CAS
2001年第3期252-254,共3页
Journal of Liaoning Normal University:Natural Science Edition
