关键词: 粗糙集, 相对差别矩阵, 条件信息熵, 故障诊断

Abstract: The reduction algorithm based on discernibility matrix algorithm can not avoid the “knowledge explosion” when the reduction objects are excessive.This paper introduces the relative disernibility matrix and proposes an algorithm based on relative discernibility matrix and condition entropy.Then the algorithm is applied to some aero radio equipment for fault diagnosis.The results show that the fault diagnosis results are consistent with those based on the pure discernibility matrix algorithm and pure condition entropy algorithm，and the new algorithm is simpler than the both two.

Key words: rough sets theory, discernibility matrix, condition information entropy, fault diagnosis