| 基于矩阵列秩属性优先的概念格算法 |
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| 引用本文： | 毛华,窦林立.基于矩阵列秩属性优先的概念格算法[J].河北大学学报(自然科学版),2009,29(2). |
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| 作者姓名： | 毛华 窦林立 |
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| 作者单位： | 1. 河北大学,数学与计算机学院,河北,保定,071002;河北省数学研究中心,河北,石家庄,050016
2. 河北大学,数学与计算机学院,河北,保定,071002;中国地质大学,长城学院,河北,保定,071002;河北省数学研究中心,河北,石家庄,050016 |
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| 基金项目： | 河北省自然科学基金数学专项基金，河北省教育厅基金 |
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| 摘 要： | 基于矩阵列秩的理论以及概念对并运算封闭的特征,提出了一种基于矩阵列秩属性优先的概念格的生成算法.首先,将形式概念分析中数据的形式背景看成一个0-1矩阵,利用矩阵的秩定义出概念的秩.其次,通过概念的秩的定义和概念对并运算封闭的特征,对概念按秩进行分层提取.通过对形式概念分析中数据的形式背景与矩阵的某些性质之间的联系的探索以及实例的验证,表明该算法行之有效.
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| 关 键 词： | 概念格 形式概念分析 概念 |
An Algorithm of Concept Lattice Based on Matrix Column Rank with Attribute Priority |
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| MAO Hua,DOU Lin-li.An Algorithm of Concept Lattice Based on Matrix Column Rank with Attribute Priority[J].Journal of Hebei University (Natural Science Edition),2009,29(2). |
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| Authors: | MAO Hua DOU Lin-li |
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| Institution: | 1.College of Mathematics and Computer;Hebei University;Baoding 071002;China;2.College of Great Wall;China University of Geosciences;3.Mathematical Research Center of Hebei Province;Shijiazhuang 050016;China |
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| Abstract: | Based on the theory of the matrix column rank and the characterization that the concept is closed for join,this paper presents an algorithm of concept lattice based on matrix column rank with attribute priority.Firstly,we consider the data represented by the formal context in the formal conceptual analysis as a 0-1 matrix,and simultaneously,the rank of some concepts is defined by the rank of matrix.Secondly,using the definition of the rank of concepts and the characterization that the concept is closed for ... |
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| Keywords: | concept lattice formal concept analysis concept |
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