带对象结构信息形式背景的概念知识发现与演化

闫梦宇; 李金海; 刘文奇; 张文修

doi:10.12263/DZXB.20211559

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带对象结构信息形式背景的概念知识发现与演化

学术论文 | 更新时间：2025-07-02

- 带对象结构信息形式背景的概念知识发现与演化
- Conceptual Knowledge Discovery and Evolution in Formal Context with Object Structure Information
- 电子学报 2023年51卷第1期页码：11-17
- 作者机构：
  
  1.昆明理工大学数据科学研究中心,云南昆明 650500
  2.昆明理工大学理学院,云南昆明 650500
  3.西安交通大学数学与统计学院,陕西西安 710049
- 作者简介：
  
  [ "闫梦宇　女，1994年5月出生于山东省枣庄市.现为昆明理工大学系统科学专业博士研究生.主要研究方向为形式概念分析、复杂网络、概念认知学习等.E-mail: yanmengyu2016@163.com" ]
  [ "李金海（通讯作者）　男，1984年1月出生于江西省上饶市.2012年毕业于西安交通大学数学与统计学院.现为昆明理工大学数据科学研究中心教授、博士生导师.主要研究方向为概念格、粗糙集、粒计算、概念认知学习等." ]
- 基金信息：
  
  国家自然科学基金(11971211;12171388)
- DOI：10.12263/DZXB.20211559
  中图分类号： TP182
- 收稿：2021-11-22，
  
  修回：2022-06-30，
  
  纸质出版：2023-01-25
- 稿件说明：
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闫梦宇,李金海,刘文奇等.带对象结构信息形式背景的概念知识发现与演化[J].电子学报,2023,51(01):11-17.

YAN Meng-yu,LI Jin-hai,LIU Wen-qi,et al.Conceptual Knowledge Discovery and Evolution in Formal Context with Object Structure Information[J].ACTA ELECTRONICA SINICA,2023,51(01):11-17.
闫梦宇,李金海,刘文奇等.带对象结构信息形式背景的概念知识发现与演化[J].电子学报,2023,51(01):11-17. DOI： 10.12263/DZXB.20211559.

YAN Meng-yu,LI Jin-hai,LIU Wen-qi,et al.Conceptual Knowledge Discovery and Evolution in Formal Context with Object Structure Information[J].ACTA ELECTRONICA SINICA,2023,51(01):11-17. DOI： 10.12263/DZXB.20211559.

摘要

形式概念分析是数据处理和知识发现的有力工具，然而仅利用形式概念分析中的传统方法已不能满足大数据环境的需求，这是因为大量数据不仅包括对象-属性信息，还有对象与对象之间的结构信息，因此扩展形式概念分析进行数据处理与知识发现是一个重要的研究课题.基于此，本文定义了带对象结构信息形式背景，并在形式概念的基础上引入连通性提出全局结构信息形式概念和局部结构信息形式概念（统称为结构信息形式概念），进而讨论基于结构信息形式概念的知识发现问题；由于现实中数据的动态变化及信息的传播与扩散是不可避免的，又进一步探讨了当带对象结构信息形式背景对象结构矩阵或连接矩阵发生变化时结构信息形式概念的演化规律，根据不同情况分别给出了对应的算法并对它们的时间复杂度进行分析；此外，通过实验表明了结构信息形式概念动态更新方法的可行性与有效性.

Abstract

Formal concept analysis is a powerful tool for data processing and knowledge discovery. However

only using the traditional methods in formal concept analysis cannot meet the needs of big data environment since most data not only contain object-attribute information but also the structure information between objects. As a result

it is an important research topic to extend formal concept analysis for data processing and knowledge discovery. Based on the above analysis

this paper puts forward the notion of a formal context with object structure information. And then

the global structural information and local structural information formal concepts are proposed (collectively called structural information formal concepts) by combining with connectivity. Meanwhile

the problem of knowledge discovery on the basis of structural information formal concepts is discussed. Considering the fact that the dynamic changes of data and the dissemination or diffusion of information in our daily life are inevitable

we further explore the evolution rules of structural information formal concepts when a formal context with object structure information is updated gradually. Algorithms are developed for updating different structural information formal concepts when object structure matrix or connection matrix changes

and their time complexity are also analyzed. In addition

we conduct some experiments to show the feasibility and effectiveness of the proposed structural information formal concept updating methods.

关键词

Keywords

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