模糊系统与数学2025,Vol.39Issue(1) :56-70.

三支区间集模糊前概念的知识表示与近似算子

Knowledge Representation and Approximation Operators of the Three-way Interval-set Fuzzy Preconcepts

毛华 胥德华 郑博雅 袁晓垒 杨兰珍
模糊系统与数学2025,Vol.39Issue(1) :56-70.

三支区间集模糊前概念的知识表示与近似算子

Knowledge Representation and Approximation Operators of the Three-way Interval-set Fuzzy Preconcepts

毛华 1胥德华 2郑博雅 1袁晓垒 3杨兰珍3
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作者信息

  • 1. 河北大学 数学与信息科学学院,河北保定 071002;河北大学 河北省机器学习与计算智能重点实验室,河北保定 071002
  • 2. 河北北方学院 理学院,河北 张家口 075000
  • 3. 河北大学 数学与信息科学学院,河北保定 071002
  • 折叠

摘要

目的:前概念能挖掘出对象共有哪些属性和属性所共有哪些对象这两类信息,得到了广泛关注.区间集理论和三支决策都基于粗糙集理论发展而来.在与形式概念分析的结合中,产生了区间集概念格理论和三支概念分析.为了充分挖掘出知识背景所蕴含的信息,需将以上已有知识提取的方法进行拓展.方法和结果:本文在模糊形式背景下将前概念、区间集和三支决策相结合,得到属性诱导的三支区间集模糊前概念,即AE-区间集模糊前概念.随后,构造其格结构,并建立粗糙上下近似算子,从而实现对未知知识的挖掘,然后用实例验证所得各类结果.结论:研究结果将区间集理论和形式概念分析深度融合,为知识提取和信息挖掘提供了一种可行的方法.

Abstract

Purpose:Preconcepts have received widespread attention for their ability to mine two types of information:which attributes an object shares and which objects it shares.Both interval set theory and three-way decision are developed based on rough set theory.In combination with formal concept analysis,the interval set concept lattice theory and three-way concept analysis have emerged.To fully explore the information contained in the knowledge context,it is necessary to expand the existing knowledge extraction methods mentioned above.Method and Results:This article combines the preconcept,interval set,and three-way decision in the fuzzy context to obtain the attribute-induced three-way interval-set fuzzy preconcept,namely the AE-interval-set fuzzy preconcept.Subsequently,construct its lattice structure and establish rough upper and lower approximation operators to achieve the mining of unknown knowledge,and then verify the various results obtained with examples.Conclusion:The research results deeply integrate interval set theory and formal concept analysis,providing a feasible method for knowledge extraction and information mining.

关键词

前概念/区间集/三支决策/三支区间集模糊前概念/格结构/近似算子

Key words

Preconcepts/Interval Sets/Three-way Decision/Three-way Interval-set Fuzzy Preconcepts/Lattice Structure/Approximation Operators

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出版年

2025
模糊系统与数学
国防科技大学理学院

模糊系统与数学

影响因子:0.42
ISSN:1001-7402
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