Summary Core Covering Rough Set And The Research Of Similar Knowledge

Since the birth of the Rough Sets, this theory has made considerable development, and has important applications in various fields.But with the coming of the big data era, the existing rough sets theory often encounters difficulties in dealing with some problems. So it is necessary to promote the existing rough set theory, so that rough sets can be applied to the practice.At first, this paper studies some properties of the summary covering, and according to the characters of summary covering we propose a new kind of covering rough sets. The summary covering rough set is more in line with the characteristics of covering relations, so summary covering rough sets is easier to be applied in practice. The lower approximation of the new covering rough sets is bigger than lower approximation of the general covering rough sets, and the larger approximate of the new covering rough sets is smaller than larger approximation of the general covering rough sets. So we can get a more accurate estimate.Secondly, this paper studies the similarity between knowledge, including equivalence relation with equivalence relation, equivalence relation with cover-ing relation, covering relation with covering relation. We put forward a method to measure the similarity between knowledge. We use the concept of similarity to measure the similarity between the knowledge. It has vital practical signif-icance to describe the similarity between knowledge. In this article we present a useful method to measure the similarity between the two knowledge.And it has important guiding significance.Finally, according to the similarity of knowledge we give two importan-t applications. One is attribute reduction, Combined with knowledge of the similarity, the paper puts forward several algorithm of attribute reduction, and these algorithms have important practical significance. These algorithms are more effective and reasonable for attribute reduction. The other is the transmission of knowledge and we can find out rational knowledge transfer sequence by the similarity of knowledge. The two applications are two impor-tant direction of the rough sets theory, so the research of this paper has certain value.