给出了论域U上自反的区间值模糊关系R诱导拓扑的一种新方法,并与胡凯的关于模糊紧性与粗集拓扑的研究中R诱导拓扑的方式进行了比较。结果表明:(1)后者需要R具有传递性才能生成拓扑,而前者则不需要此条件;(2)当R满足传递性时,两种方式生成的拓扑是相同的。
In this paper, a new method that generates topologies by a reflexive interval-valued fuzzy relation R is introduced and then the comparisons with that method generating topologies by R in the literature of Hu Kai's "The Research of Fuzzy Compactness, Rough Sets, and Topology" are drawn. The results show that : (1) the latter generates topologies only if R is transitive while the former does not need this condition; and (2) the two types of topological structures are the same when R is transitive.