区间值信息系统基于极大相容类的属性约简

Attribute Reduction of Interval-valued Information System Based on the Maximal Tolerance Class

区间值信息系统是单值信息系统的一种广义模型,通过引入变精度相容关系以及极大变精度相容类,提出区间值信息系统的属性约简与对象的相对属性约简。进一步,基于区分矩阵,定义一种区分函数与相对区分函数,得到计算区间值信息系统上属性约简与相对约简的具体操作方法。

Interval-valued information systems are generalized models of single-valued information systems. By introducing a variable precision tolerance relation and a kind of maximal variable precision tolerance class,this paper proposes the attribute reduction and the relative attribute reduction for its objectin intervalvalued information systems. Furthmore, the paper difines a kind of discernibility function and relative discernibility function based on the discernibility matrix, and get the means of computing the attribute reduction and relative attribute reduction of interval-valued information system.