摘要
文中引入了纯正半群上的模糊核正规系的概念,证明了纯正半群上的每个模糊同余由它的模糊核正规系所唯一确定。
We introduce the concept of fuzzy kernel normal system for a fuzzy congruence on an orthodox semigroup and show that every fuzzy congruence on an orthodox semigroup is uniquely determined by its fuzzy kernel normal system. Finally, we set up a one-one correspondence between fuzzy kernel syetems and fuzzy congruences on an orthodox semigroup.
出处
《工程数学学报》
CSCD
北大核心
2003年第6期85-89,100,共6页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金资助项目(19970128)
广东省自然科学基金资助项目[(011438)
(021073)
(Z02017)].
关键词
模糊同余
模糊核正规系
模糊子半群
纯正半群
Fuzzy congruence
fuzzy kernel normal system
fuzzy subsemigroup
orthodox semigroup
