关键词: 粗糙集, 属性约简, 模糊C均值, 相似关系

Abstract: Attribute reduction of an information system with real value attributes is one of the research hot spots in rough set theory. Instead of an equivalence relation with discretization of real values, a kind of similarity relation and its adaptive form based on fuzzy c-means clustering are proposed. A rough set model based on the similarity relation is presented which has good performance in dealing with noisy data. A kind of importance degree derives from the defined positive region and nonpositive one, the attribute reduction of an information system is performed. Comparative experiments with existing method show that the proposed method is effective, stable and reasonable.

Key words: rough set, attribute reduction, fuzzy c-means, similarity relation