关键词: 粗糙集, Boole环, 近似算子

Abstract: This paper defines the partial ordering relation of the Boole ring, studies the Boole ring closure operator and interior operator properties. Thus, it introduces the approximation spaces of congruence and congruence upper and lower approximation operator in congruence approximation spaces. At last, the paper studies properties of the upper and lower approximate operators.

Key words: rough set, Boole ring, approximation operator