关于属性测度空间粗糙集模型的一个注记

A Note on Attribute Rough Sets Model

文[1]关于属性粗糙集的定义中,上、下近似算子分别由等价类中元素属性测度的上、下确界来确定,没有充分反映等价类中其它元素的作用,在信息处理中不免造成元素信息的丢失。为此提出一种新的属性粗糙集近似算子的表示方法,给出了相应的性质,并实例说明了这一方法的合理性。

For the definition of attribute rough sets of [1], the membership of the lower or upper approximations is defined as the element memberships＇ infimum or supremum in equivalent class. As a result of not considering the elements whose memberships are between the minimum and maximum, some useful information of these elements may be lost in the information processing. This paper presents a new operator of attribute rough sets, point out several related properties. At last, an example proves that the measures are rationality.