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S-粗集(Singular rough sets)具有动态特征,近似特征。S-粗集是改进Z.Pawlak粗集得到的,在一定条件下S-粗集被还原成Z.Pawlak粗集。利用单向S-粗集(one direction singular rough sets)与单向S-粗集对偶(dual of one direction singular rough sets),给出内-生成知识,外-生成知识与内-外生成知识概念,给出知识动态发现,发现原理与发现定理,给出知识发现具有的属性合取范式扩张-萎缩特征,给出应用。S-粗集是研究知识动态发现的新理论与新方法。
S-rough sets have dynamic features and approximate features. S-rough sets are obtained by improving Z. Pawlak rough sets, under certain conditions, S-rough sets are reduced to Z. Pawlak rough sets. Using the one direction singular rough sets and the dual of one direction singular rough sets, the concept of inside-generating knowledge, outside-generating knowledge and inside-out generating knowledge is given , Gives the dynamic discovery, discovery principle and discovery theorem of knowledge, and gives the feature of the combination of knowledge discovery has the characteristics of expansion - atrophy, given the application. S-rough set is a new theory and method to study the dynamic discovery of knowledge.