Abstract: Real-valued information systems are generalized continuous-valued information systems, in which the values of the attributes are some actual data reflected by practical problem. By defining a tolerance relation to real-
valued information systems, this paper mainly deals with attribute reduction in real-valued information systems and real-valued decision tables based on rough theory, the discernibility functions and judgment theorems of attribute reduction are then given, from which the approaches for attribute reduction are provide. A numerical example is employed to substantiate the conceptual arguments.

Key words: real-valued information system, tolerance relation, attribute reduction, discernibility function

摘要： 实值信息系统是连续值信息系统的广义形式，其属性值是实际问题反映出来的真实数据。通过在实值信息系统上定义一种相容关系，主要讨论了这种关系下实值信息系统与实值决策表基于粗糙集理论的属性约简，给出了区分函数的定义与约简的判定定理，得到了计算约简的具体方法，并将所得结论用于无线电信号数据分析处理上。

关键词: 实值信息系统, 相容关系, 属性约简, 区分函数