摘要
在模糊完备格上定义了一种新的模糊Way-below关系,在此基础上引入了模糊半连续格的概念,证明了它是分明半连续格的一种推广.讨论了模糊半连续格上模糊Way-below关系的性质,并利用模糊Galois伴随给出了模糊半连续格的一个等价刻画.
A new kind of fuzzy way-below relation on fuzzy complete lattices is defined.Based on it,the concept of fuzzy semicontinuous lattice is introduced.We show that such a fuzzy semicontinuous lattice is a generalization of a semicontinuous lattice.Some properties of the fuzzy way-below relation on fuzzy semicontinuous lattices are discussed.An equivalent characterization of fuzzy semicontinuous lattices is given by using fuzzy Galois connections.
出处
《陕西师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第6期6-9,13,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(10871121
11171196)