区间值模糊近似空间的拓扑结构

摘要

This paper introduces the notion of transitive expression (which is denoted as R ) for a reflexive interval-valued fuzzy relation R on a domain U , studies the topological structures rR and r^ induced by R and R respectively. The results shows that tr = tr-, since they have a common subbase.%给出了论域U上自反的区间值模糊关系R的传递化表示(R)的概念,研究了R与(R)诱导的拓扑结构τR和τ(R).研究结果表明τR和τ(R)有一组相同的子基,因此τR=τ(R).