西安石油大学学报（自然科学版）2012，Vol.27Issue(4)：105-110,6.
基于Galois联络的粗糙集公理化方法
Axiomatic characterization of rough sets using Galois connection
摘要
Abstract
Galois connection and rough set are different research branches. The axiomatic characterization of rough sets is presented using Galois connection. Two axioms, named GC and GC' are proposed for characterizing the rough approximation operators. It is proved that any unary operator satisfying GC or GC' corresponds to some binary relation, which in turn produces the same rough approximation operators.关键词
粗糙近似算子/Galois联络/公理化刻画Key words
rough approximation operator/ Galois connection/ axiomatic characterization分类
信息技术与安全科学引用本文复制引用
折延宏..基于Galois联络的粗糙集公理化方法[J].西安石油大学学报（自然科学版）,2012,27(4):105-110,6.基金项目
国家自然科学基金(编号:61103133),陕西省教育厅科学研究计划项目(编号:11JK0473),西安石油大学博士科研启动基金项目(编号:YS29030909)资助 （编号:61103133）
