Topological structure on interval-valued fuzzy approximate space

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (13): 44-47.

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Topological structure on interval-valued fuzzy approximate space

WANG Li, LI Lingqiang, MENG Guangwu, LI Yanxia

School of Mathematics Science, Liaocheng University, Liaocheng, Shandong 252059, China

Online:2012-05-01 Published:2012-05-09

区间值模糊近似空间的拓扑结构

王莉，李令强，孟广武，李颜霞

聊城大学数学科学学院，山东聊城 252059

Abstract

Abstract: 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 τR and τR induced by R and R respectively. The results shows that τR=τR, since they have a common subbase.

Key words: interval-valued fuzzy relation, transitive expression, topology

摘要： 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τR。研究结果表明τR和τR有一组相同的子基，因此τR=τR。

关键词: 区间值模糊关系, 传递化表示, 拓扑

WANG Li, LI Lingqiang, MENG Guangwu, LI Yanxia. Topological structure on interval-valued fuzzy approximate space[J]. Computer Engineering and Applications, 2012, 48(13): 44-47.

王莉，李令强，孟广武，李颜霞. 区间值模糊近似空间的拓扑结构[J]. 计算机工程与应用, 2012, 48(13): 44-47.

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Topological structure on interval-valued fuzzy approximate space

区间值模糊近似空间的拓扑结构

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