摘要
在模糊Quantale上引入模糊同余关系的概念,证明了模糊Quantale上的模糊同余关系与模糊核映射是一一对应的,而且模糊同余关系之集模糊序同构于该模糊Quantale上的模糊核映射之集.基于模糊同余关系引入商模糊Quantale的概念,证明了任一模糊Quantale同余关系诱导的模糊Quantale商与基于该模糊同余关系的商模糊Quantale是同构的.
The concept of fuzzy congruence relations on fuzzy Quantales is introduced. It is proved that there is a one to one correspondence between the fuzzy congruence relations and fuzzy nuclei on a fuzzy Quantale, and the fuzzy poser of all fuzzy congruence relations is isomorphic to the fuzzy poser of all fuzzy nuclei on a given fuzzy Quantale. Based on the fuzzy congruence relation, the concept of quotient fuzzy Quantale is given. It is proved that the fuzzy quantic quotient in- duced by a fuzzy Quantale congruence relation is isomorphic to the quotient fuzzy Quantale based on the fuzzy congruence relation.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第2期18-22,共5页
Journal of Shaanxi Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(11001158)
中央高校基本科研业务费专项资金项目(GK201002025)
