粗糙反模糊子群的同态

摘要

将反模糊子群推广到粗糙反模糊子群及反模糊商群,讨论了在同态意义下的反模糊子群的的结构.证明了反模糊子半群和粗糙反模糊子群都与自己的商结构同态,得到了几个同态定理.%Anti fuzzy subgroup is extended to rough anti fuzzy subgroup and its quotient group. Discussed the structure of anti-fuzzy subgroup in the sence of homomorphism. It is proved that anti-fuzzy subgroup and rough anti-fuzzy subgroup are homomorphis to their structures. Several homomorphism theorems are obtained.