摘要
介绍了近期关于拓扑分子格度量理论方面的工作.基于完全分配格上的分子和一般集的点在代数结构上的差别,讨论分子集的序关系对格上p.q(p.)度量公理的影响,显示建立在非Boole格上的这种度量理论的某些特色,文中的部份结果是我们最近才得到的.
This paper is devoted to collect some recent works of fuzzy metric theory on a topological molecular lattice. Many differences of algebric structures between molecules of complete distributive lattice and poinis of ordirary set are investigated. On this basis, we discuss interference from the order relation on molecular set to pointwise p,q(p.) metric axioms on the lattice thus show some characteristics of the metric theory on non Boole lattice.Some results metioned in the paper are obtained in our recent works.
出处
《四川大学学报(自然科学版)》
CAS
CSCD
1990年第3期275-281,共7页
Journal of Sichuan University(Natural Science Edition)
关键词
拓扑分子格
p.q(P.)度量
序关系
topological molecular lattice, metric p.q(.p), way below relation.