摘要
粗糙集理论是一种新的处理模糊和不确定知识的数学工具,借助近似代数上的原子及同余关系,在证明了在适当选取加运算、乘运算和余运算之后,粗糙集代数就成为MV-代数。
The relation between rough set algebra and MV-algebra was studied, and the method of constructing MV-algebra from rough set algebra was presented. Based on the atoms and congruence of approximation algebra, it is proved that rough set algebra becomes MV-algebra if proper operators are selected.