集值决策信息系统的知识约简与属性特征

Knowledge Reduction and Attributes Characteristics in Set-valued Decision Information System

本文定义了集值决策信息系统中的一种新的关系,给出了在这种关系下协调集值决策信息系统属性约简的判定定理和辨识矩阵,从而得到了知识约简的具体操作方法,并讨论了在属性约简中起不同作用的属性分类及其特征。定义了不协调集值决策信息系统的分配协调集,给出了一种将不协调集值决策信息系统转化为广义协调近似空间的方法,并证明了不协调集值决策信息系统的分配协调集就是广义协调近似表示空间的协调集。

A new relation is defined in set-valued decision information system, based on the relation the judgment theorems and the discernibility matrices of knowledge reduction in set-valued decision information system are given. The characteristics of different type of attributes in set-valued decision information system are studied, and the judgment theorems about them are obtained. The assignment reduction is introduced in inconsistent set-valued decision information system in this paper,and it is shown that the inconsistent system can be turned into a generalized consistent approximation space.