内逆Pρ-集合与其概率特征

摘要

Based on the inverse P-sets (-X F'-X-F ) and the randomness of element transition, the concept of internal inverse Pρ-set-X pF is proposed, and the relationship between internal inverse P-set-X F and internal inverse Pρ-set-X pF is discussed, which shows -X pF is the general forming of-X F while-X F is a special case of-X pF . The relationship theorem between-X pF and element transition probability and the identification theorem between internal inverse Pρ-set family and internal inverse P-set family are presented. Further analysis of the probability feature about internal inverse Pρ-set -X pF is given at the end.%在逆P-集合(-X F'-X-F)与元素迁移随机性的基础上，给出了元素迁移概率的概念与内逆Pρ-集合-X pF的结构；讨论了内逆Pρ-集合-X pF与内逆P-集合-X F的关系：-X pF是-X F的一般形式，-X F是-X pF的特例；给出-X pF与元素迁移概率关系定理、内逆Pρ-集合族与内逆P-集合族不可辨识定理，并进一步分析了内Pρ-集合-X pF的概率特征。