P-集合与双信息规律生成

P-集合(pacdet sets)是由内P-集合X~F(internal packet set X~F)与外P-集合X~F(outer packet set X~F)构成的集合对.P-集合是把动态特性引入到普通集合中,利用普通集合(cantor set)被提出的.在一定的条件下,P-集合能够回到普通集合的原点.利用P-集合,给出双信息规律生成概念,给出双信息规律依赖的属性特征,提出双信息规律生成定理,辨识定理,给出应用.P-集合是研究动态信息系统的一个新的数学理论与数学方法.

P-Sets and Double Information Law Generation

P-sets are a set pair which are composed of internal P-setsX~F and outer PsetsX~F. By using general sets introduced by dynamic characteristics,P-sets are presented.Under some conditions,P-sets can change into general sets.Based on P-sets,the concept of Double information law generation and attribute characterstics of Double information law dependence are given in this paper,Double information law generation theorem,as well as applications are proposed.P-sets are a new mathematical theory and method to study the dynamic information system.