Abstract: Reduction of attributes is one of the important topics in the research of rough set theory. In this paper, the concept of fuzzy random information system is introduced, where object can take fuzzy random variable as its attribute value. Furthermore, dependent-expectation relation is defined. Based on dependent-expectation relation the problem of attribute reduction and judgment in fuzzy random information system are studied. Finally, by an example, calculation steps of appropriate method is showed.

Key words: rough set, random variable, attribute reduction

摘要： 属性约简是粗糙集理论研究的核心内容之一。在信息系统中引入模糊随机变量，给出了模糊随机信息系统的概念，定义了期望相关关系。基于该关系，讨论了模糊随机信息系统属性约简的判定和方法，并通过实例分析了相应方法的具体计算步骤。

关键词: 粗糙集, 随机变量, 属性约简