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分层概念格的上卷和下钻构造算法

Roll-Up and Drill-Down Building Algorithms of Layered Concept Lattice

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【作者】 张家录吴霞钟嘉鸣陆汝华

【Author】 ZHANG Jialu;WU Xia;ZHONG Jiaming;LU Ruhua;College of Mathematics and Finance,Xiangnan University;College of Economic and Management,Xiangnan University;College of Software and Communication Engineering,Xiangnan University;

【机构】 湘南学院数学与金融学院湘南学院经济与管理学院湘南学院软件与通信工程学院

【摘要】 当形式背景中的某些属性可以分解为若干子属性时,构建分层概念格模型,讨论原形式背景的概念格和分层形式背景的分层概念格之间的联系.提出由下层概念构造上层概念的上卷构造算法和由上层概念构造下层概念的下钻构造算法.实验表明,采用分层概念格模型可以建模复杂属性数据,分层概念格上卷构造算法和下钻构造算法可以提高构建概念格的效率.

【Abstract】 A model of layered concept lattice is established,when the attributes of a formal context can be decomposed into some sub-attributes. The relationship between the original concept lattice and the layered concept lattice is discussed. Two algorithms are proposed: the roll-up algorithm and the drill-down algorithm. In the roll-up algorithm,the upper concept is constructed by the lower concept,and in the drill-down algorithm,the lower concept is constructed by the upper concept. Examples and numerical experiments show that the layered concept lattice model can be used to model complex attribute data.Furthermore,the roll-up algorithm and the drill-down algorithm improve the efficiency of building concept lattice.

【基金】 湖南省自然科学基金项目(No.2017JJ2241,2016JJ6138);湖南省社会科学基金项目(No.16YBA329,13YBB205)~~
  • 【文献出处】 模式识别与人工智能 ,Pattern Recognition and Artificial Intelligence , 编辑部邮箱 ,2018年04期
  • 【分类号】TP18
  • 【被引频次】3
  • 【下载频次】144
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