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