单向变异S-粗集的概率特征

Probabilistic Characteristics of one Direction Variation S-rough Sets

利用单向变异S-粗集的结构,给出元素迁移的概率特征:属性集α的下近似概率特征,属性集α的上近似概率特征,利用这些结果,给出单向变异S-粗集的概率特征,提出单向变异S-粗集的随机结构与随机定理.单向变异S-粗集的结构是单向变异S-粗集的随机结构的特例,单向变异S-粗集的随机结构是单向变异S-粗集结构的一般形式.

By employing the structure of one direction variation S-rough sets, this paper presents the probabilistic characteristic of element transfer,the probabilistic characteristic of attribute set of the lower approximation and the probabilistic characteristic of attribute setof the upper approximation. Then by employing the above results,this paper gives the probabilistic characteristic of one direction variation S-rough set, and proposes the stochastic structure and the stochastic theorem of one direction variation S-rough sets. The structure of one direction variation S-rough sets is the special case of the stochastic structure of one direction variation S-rough sets ,while the latter is the general form of the former.