Probability feature of element transition and internal inverse P_ρ-sets

Article type: Research Article

Authors: Zhang, Yue-Yun^{; *} | Yu, Xiu-Qing

Affiliations: Department of Mathematics, Dezhou University, Dezhou, Shandong, China

Correspondence: [*] Corresponding author: Yue-yun Zhang, Department of Mathematics, Dezhou University, Dezhou 253023, Shandong, China. E-mail: [email protected].

Abstract: The concept of element transition probability and the structure of internal inverse Pρ-set X¯PF 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 Pρ-set X¯pF was discussed, which showed 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 were presented. Furthermore analysis of the probability feature about internal inverse Pρ-set X¯pF was given at the end.

Keywords: Inverse P-set, internal inverse P_ρ-set, random properties about element transition

DOI: 10.3233/JCM-140515

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 15, no. 1, pp. 23-30, 2015