关键词: 实值信息系统, 相容关系, 属性约简, 区分函数

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