期刊文献+

概念的矩阵化描述及相关定理的矩阵化证明

Rectangle Description of Concept and the Rectangle Proof of Correlative Propositions
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摘要 概念格作为形式概念分析理论中的核心数据结构,已在知识工程和软件工程等领域得到了广泛的应用。然而,对概念格理论的研究仅存在于纯数学领域[1],虽然已有的Hasse图能体现概念间的范化与特化关系,但对概念本身的理解帮助不大,用于定理的证明更为少见。从可视化着手,对概念格的图形化研究做了一点尝试,把概念信息理解成概念矩形,并用之于概念格定理的证明,取得满意的效果。 Concept lattice, the core data structure of formal concept analysis, is used widely in knowledge engineering and software engineering. However, the scientific researches on the concept lattice is confined in the domain of mathematics. The Hasse diagram of a concept lattice can describe and perform the connections between generalization and specialization, but it is helpless to the comprehension of the concept essentially and rareness to be used in the theorem proof. Based on the visualization, this article made an attempt to the visualization of the concept lattice, regarded the concept as concept rectangle, and used in the concept lattice theorem proof, obtained the satisfactory effect.
出处 《计算机科学》 CSCD 北大核心 2009年第2期181-185,共5页 Computer Science
基金 国家自然科学基金(No.60775036)资助
关键词 概念格 概念矩形 概念格生成算法 批处理 渐进式 Concept lattice, Concept rectangle, Constructing algorithm, Batch algorithm, Incremental algorithm
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参考文献7

  • 1马垣.粗糙几何学∥中国第6届粗糙集及软计算学术会议报告.2006
  • 2GanterB, Wille R. Formal Concept Analysis : Mathematical Foundations. Berlin-Heidelberg: Springer, 1999
  • 3Godin R. Incremental Concept formation algorithm base on Galois ( concept ) 1 attices. Computational Intelligence, 1995,11 ( 2 ) : 246-267
  • 4van der Merwel D. Addlntent : A New Incremental Algorithm for Constructing Concept Lattices//ICFCA 2004, LNCS 3403. 2004 : 372-385
  • 5李云,刘宗田,陈崚,徐晓华,程伟.多概念格的横向合并算法[J].电子学报,2004,32(11):1849-1854. 被引量:50
  • 6Fu H,Nguifo E M. A parallel algorithm to generate formal concepts for large data. ICFCA,2004:394-401
  • 7齐红,刘大有,胡成全,卢明,赵亮.基于搜索空间划分的概念生成算法[J].软件学报,2005,16(12):2029-2035. 被引量:15

二级参考文献18

  • 1Ganter B,Wille R.Formal Concept Analysis:Mathematical Foundations[M].Berlin:Springer-Verlag,1999.
  • 2Baltasar Fernandez-Manjon,Alfredo Fernandez-Valmayor.Building educational tools based on formal concept analysis[J].Education and Information Technologies,1998,3(3-4):187-201.
  • 3U Krohn,N J Davies,R Weeks.Concept lattices for knowledge management[J].BT Technol J,1999,17(4):108-113.
  • 4S O Kuznetsov.Machine learning on the basis of formal concept analysis[J].Automation and Remote Control,2001,62(10):1543-1564.
  • 5Godin R,Missaoui R,Alaoui H.Incremental concept formation algorithms based on Galois (concept) lattices[J].Computational Intelligence,1995,11(2):246-267.
  • 6Sergei O Kuznetsov,Sergei A Obiedkov.Algorithms for the construction of concept lattices and their diagram graphs[A].PKDD 2001,LNAI 2168[C].Freiburg:Springer-Verlag Heidelberg,2001.289-300.
  • 7Yun Li,Zongtian Liu,et al.Theoretical research on the distributed construction of concept lattices[A].Proceedings of the Second International Conference on Machine Learning and Cybernetics[C].Xian:Institude of Electrical and Electronics,2003.474-479.
  • 8Zongtian Liu,Liangsheng Li,Qing Zhang.Research on a union algorithm of multiple concept lattices[A].RSFDGrC 2003,LNAI 2639[C].Berlin:Springer-Verlag Heidelberg,2003.533-540.
  • 9Ganter B, Wille R. Formal Concept Analysis: Mathematical Foundations. Berlin Heidelberg: Springer-Verlag, 1999.
  • 10Carpineto C, Romano G. A lattice conceptual clustering system and its application to browsing retrieval. Machine Learning, 1996,24:95-122.

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