摘要
在模糊完备格上定义了模糊beneath关系、模糊beneath紧元,并引入了模糊C-连续格和模糊C-代数格的概念,证明了它们分别是分明C-连续格和C-代数格的一种推广。讨论了模糊C-连续格上模糊beneath关系的性质,并利用模糊Galois伴随给出了模糊C-连续格的一个等价刻画。
Fuzzy beneath relation and fuzzy beneath compact element on fuzzy complete lattices are defined, and the concepts of fuzzy C-continuous lattices and fuzzy C-algebraic lattices are introduced, which can be considered as generalizations of the concepts of C-continuous lattices and C-algebraic lattices. Some properties of the fuzzy beneath relation on fuzzy C-continuous lattices are discussed. An equivalent characterization of fuzzy C-continuous lattices is given by using fuzzy Galois connections.
出处
《模糊系统与数学》
CSCD
北大核心
2014年第2期95-103,共9页
Fuzzy Systems and Mathematics
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(GK201002025)
