两类动态信息模型及其应用  

Two Types of Dynamic Information Models and Their Applications

作　　者：张凌 任雪芳 史开泉[2] ZHANG Ling;REN Xue-fang;SHI Kai-quan(School of Mathematics and Information Engineering,Longyan University,Longyan,Fujian 364012,China;School of Mathematics and Systems Science,Shandong University,Jinan 250100,China)

机构地区：[1]龙岩学院数学与信息工程学院,福建龙岩364012 [2]山东大学数学与系统科学学院,济南250100

出　　处：《计算机科学》2018年第11期238-243,共6页Computer Science

基　　金：福建省中青年教师教育科研项目(JA15495;JA15503);龙岩学院重点学科资助项目;大数据挖掘与应用福建省高校重点实验室(龙岩学院)资助

摘　　要：P-集合(P-sets)是一类具有动态特征的集合模型,在P-集合中,元素的属性满足数理逻辑中的合取范式。P-集合是把动态特性引入到有限普通元素集合(有限Cantor set)X内,来改进有限普通元素集合X而提出的。逆P-集合(Inverse P-sets)是另一类具有动态特征的集合模型,在逆P-集合中元素的属性满足数理逻辑中的析取范式。逆P-集合是把动态特性引入到有限普通元素集合X内,来改进有限普通元素集合X而提出的。逆P-集合是P-集合的对偶形式。定义P-集合是一类动态信息模型,定义逆P-集合是另一类动态信息模型。文中主要介绍P-集合与逆P-集合的结构、生成与动态特征;给出P-集合、逆P-集合存在的事实;利用P-集合,给出具有属性合取范式的信息的递推-搜索发现与应用;利用逆P-集合,给出具有属性析取范式的信息的挖掘-获取与应用。P-集合、逆P-集合是研究动态信息(动态数据)应用的新模型、新方法。P-set is a type of set model with dynamic characteristics,in which the elements’attribute satisfies the conjunctive normal form in mathematical logic.P-set is proposed by introducing dynamic characteristics into finite ordinary element set(finite Cantor set)X and improving it.Inverse P-set is another type of set model with dynamic characteristics,in which the elements’attribute satisfies the disjunctive normal form in mathematical logic.Inverse P-set is also proposed by introducing dynamic characteristics into finite ordinary element set X and improving it.Inverse P-set is the dual form of P-set.Here P-set is defined as a type of dynamic information model,while inverse P-set is defined as ano-ther type of dynamic information model.In this paper,the structures,generations and dynamic characteristics of P-sets and inverse P-sets were introduced.The existence facts of P-sets and inverse P-sets were presented.By employing P-sets,the recursive searching-finding and application of information with attribute conjunctive normal form were given.By using inverse P-sets,the the mining-acquisition and application of information with attribute disjunctive normal form were given.P-sets and inverse P-sets are the new models and new methods for the application research of dynamic information or dynamic data.

关 键 词：P-集合 逆P-集合 合取范式 析取范式 递推搜索-发现 挖掘-获取 

分 类 号：O144[理学—数学]