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中文摘要：
定义了决策属性也是集合子集的集值决策信息系统，给出了基于集值决策属性的协调集值决策信息系统的定义，得到了协调集值决策信息系统属性约简的判定定理和辨识矩阵，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，给出了基于集值决策属性的不协调集值决策信息系统属性约简的方法。
英文摘要：
The paper defines a set-valued decision information system which the decision attributes are also the subsets.The definition of a consistent set-valued decision information system based on the set-valued decision attributes is given.The judgment theorems and the discernibility matrices of attribute reduction in a consistent set-valued decision information system are discussed.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 the inconsistent set-valued decision information system in this paper,and the method about reduction of the inconsistent system is given.
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