Probability feature of element transition and internal inverse P ρ -sets

The concept of element transition probability and the structure of internal inverse P ρ -set X ¯ P F were proposed based on the inverse P-sets ( X ¯ F , X ¯ F ¯ ) and the randomness of element transition. The relationship between internal inverse P-set X ¯ F and internal inverse P ρ -set X ¯ p F was discussed, which showed X ¯ p F is the general forming of X ¯ F while X ¯ F is a special case of X ¯ p F . The relationship theorem between X ¯ p F and element transition probability, and the identification theorem between internal inverse P ρ -set family and internal inverse P-set family were presented. Furthermore analysis of the probability feature about internal inverse P ρ -set X ¯ p F was given at the end.