单向变异S-粗集对偶的概率特征

Probabilistic Characteristics of Dual of One Direction Variation S-rough Sets

利用单向变异S-粗集对偶的结构,给出属性迁移的概率特征: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-粗集对偶的概率特征,提出单向变异S-粗集对偶的随机结构与随机定理.单向变异S-粗集对偶的结构是单向变异S-粗集对偶的随机结构的特例,单向变异S-粗集对偶的随机结构是单向变异S-粗集对偶结构的一般形式.

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