随机函数逆P-集合与其属性依赖特征  

Random function inverse P-sets and its characteristics depending on attributes

作　　者：张曰云[1] 

机构地区：[1]德州学院数学科学学院,山东德州253023

出　　处：《山东大学学报（理学版）》2014年第10期90-94,共5页Journal of Shandong University(Natural Science)

基　　金：山东省自然科学基金资助项目(ZR2010AL019)

摘　　要：将随机特性引入函数逆P-集合,对函数逆P-集合进行改进,给出随机函数逆P-集合的概念与结构。随机函数逆P-集合是由随机函数内逆P-集合与随机函数外逆P-集合构成的有序集合对。随机函数逆P-集合是函数逆P-集合的扩展,函数逆P-集合是随机函数逆P-集合的特例。在随机函数逆P-集合的基础上,给出随机函数逆P-集合的随机性定理与随机函数逆P-集合的属性依赖关系定理。随机函数逆P-集合的提出扩大了函数逆P-集合的应用领域。By introducing random characteristics into function inverse P-sets and improving it,the concept and structure of random function inverse P-sets（ packet sets） is proposed,which is an ordered pair of cantor sets composed of random function internal inverse P-set and random function outer inverse P-set. Also,it is pointed that random function inverse P-sets is an expansion model of function inverse P-sets,while function inverse P-sets is a case of random function inverse P-sets. Based on the concepts of random function inverse P-sets,its random feature theorems and the dependent relationship theorems between random function inverse P-sets and its attributes are obtained. So the random function inverse P-sets extend the application field of function inverse P-sets.

关 键 词：函数逆P-集合 随机函数逆P-集合 随机特性 属性依赖特性 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置] O144[自动化与计算机技术—控制科学与工程]