计算机科学 ›› 2018, Vol. 45 ›› Issue (11): 238-243.doi: 10.11896/j.issn.1002-137X.2018.11.037

• 人工智能 • 上一篇    下一篇

两类动态信息模型及其应用

张凌1, 任雪芳1, 史开泉2   

  1. (龙岩学院数学与信息工程学院 福建 龙岩364012)1
    (山东大学数学与系统科学学院 济南 250100)2
  • 收稿日期:2017-08-29 发布日期:2019-02-25
  • 作者简介:张 凌(1963-),男,教授,主要研究方向为信息系统理论与应用,E-mail:zl79024@163.com;任雪芳(1981-),女,硕士,副教授,主要研究方向为系统理论与应用,E-mail:renxf0311@163.com;史开泉(1945-),男,教授,博士生导师,主要研究方向为系统理论与应用,E-mail:shikq@sdu.edu.cn(通信作者)。
  • 基金资助:
    本文受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。

Two Types of Dynamic Information Models and Their Applications

ZHANG Ling1, REN Xue-fang1, SHI Kai-quan2   

  1. (School of Mathematics and Information Engineering,Longyan University,Longyan,Fujian 364012,China)1
    (School of Mathematics and Systems Science,Shandong University,Jinan 250100,China)2
  • Received:2017-08-29 Published:2019-02-25

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。

关键词: P-集合, 递推搜索-发现, 合取范式, 逆P-集合, 挖掘-获取, 析取范式

Abstract: 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.

Key words: Conjunctive normal form, Disjunctive normal form, Inverse P-sets, Mining-acquisition, P-sets, Recursive searching-finding

中图分类号: 

  • O144
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逆P-集合的边界特征与系统状态监测
Boundary Characteristics of Inverse P-sets and System Condition Monitoring
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