摘要
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 are a set pair which are composed of internal P-setsX^F^- and outer P- setsX^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 chaxacterstics 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.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第13期71-80,共10页
Mathematics in Practice and Theory
基金
山东省自然科学基金(Y2007H02)
关键词
P-集合
双信息规律
生成定理
依赖定理
辨识定理
应用
P-sets
double information law
generation theorem
dependence theorem
information theorem
applications
