A Study On Attribute Reduction Based On Covering And Fuzzy Rough Sets

With the development of science and technology, all kinds of information has graduallypenetrated into every area of our life. Human beings enjoy convenient life using of informationtechnology, while having to face complex information to deal with. Extracting usefulinformation is getting more and more important. Rough set theory and fuzzy set theory are usedto deal with uncertainty information.Covering rough sets, as a generalization of classical rough sets, has attracted wide attentionin both of the theory and its application. In this paper, we study on attribute reduction ofcovering rough sets with discernibility matrix and the concept of related covering. We firstdefine attribute reduction of complex data, then we propose the necessary and sufficientcondition of attribute reduction, and then present attribute reduction of the discernibility matrixmethod. Based on the concept of related covering, we also study some properties of attributereduction related to covering approximation operators. The concept of fuzzy rough sets is theorganic integration and extention of rough sets and fuzzy sets. In this paper, we complete andextend attribute reduction of fuzzy rough sets, such that this theory has a wider application.