摘要
讨论粗糙集代数与格蕴涵代数的关系以及由粗糙集代数构造格蕴涵代数的方法.借助近似代数上的原子及同余关系,证明了在适当选取蕴涵算子及余运算之后,粗糙集代数就成为格蕴涵代数.
The relation between rough set algebra and lattice implication algebra was studied, and the method of constructing lattice implication algebra from rough set algebra was presented. Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes lattice implication algebra if proper implication and complement operators are selected.
出处
《西南交通大学学报》
EI
CSCD
北大核心
2004年第6期754-757,共4页
Journal of Southwest Jiaotong University
关键词
格蕴涵代数
粗糙集
粗糙集代数
lattice implication algebra
rough set
rough set algebra
