A study on relationship between fuzzy rough approximation operators and fuzzy topological spaces

被引：0
|
作者：
Wu, WZ [1 ]
机构：
[1] Zhejiang Ocean Univ, Informat Coll, Zhoushan 316004, Zhejiang, Peoples R China
来源：
FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PT 1, PROCEEDINGS | 2005年 / 3613卷
关键词：
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
It is proved that a pair of dual fuzzy rough approximation operators can induce a topological space if and only if the fuzzy relation is reflexive and transitive. The sufficient and necessary condition that a fuzzy interior (closure) operator derived from a fuzzy topological space can associate with a fuzzy reflexive and transitive relation such that the induced fuzzy lower (upper) approximation operator is the fuzzy interior (closure) operator is also examined.
引用
收藏
页码：167 / 174
页数：8
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