[1]毛华,刘祎超.基于权值最大圈的概念格构造算法[J].智能系统学报,2016,11(4):519-525.[doi:10.11992/tis.201606006]
 MAO Hua,LIU Yichao.An algorithm for concept lattice construction based on maximum cycles of weight values[J].CAAI Transactions on Intelligent Systems,2016,11(4):519-525.[doi:10.11992/tis.201606006]
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基于权值最大圈的概念格构造算法(/HTML)
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《智能系统学报》[ISSN:1673-4785/CN:23-1538/TP]

卷:
第11卷
期数:
2016年4期
页码:
519-525
栏目:
出版日期:
2016-07-25

文章信息/Info

Title:
An algorithm for concept lattice construction based on maximum cycles of weight values
作者:
毛华 刘祎超
河北大学 数学与信息科学学院, 河北 保定 071002
Author(s):
MAO Hua LIU Yichao
School of Mathematics and Information Science, Hebei University, Baoding 071002, China
关键词:
形式背景概念格概念权值最大圈属性拓扑数据处理
Keywords:
formal contextconcept latticeconceptweight valuemaximum cycleattributes topologydata processing
分类号:
TP18
DOI:
10.11992/tis.201606006
摘要:
概念格作为一种有效的知识发现与数据处理的工具,在许多领域得到了广泛应用。寻找形式背景下的所有概念是概念格理论研究的一个基本问题。对于一个给定的形式背景,在属性拓扑图的基础上,结合图论的思想,给出了一种概念格的构造算法。算法过程如下:首先,构造弱化的属性拓扑图;其次,通过寻找弱化的属性拓扑图中的每个权值最大圈方法来生成概念,形式背景的所有概念被生成;最后,构造出概念格。通过分析说明此算法复杂度比以往的一些算法复杂度低。此外,用一个实例验证了这一算法的有效性与正确性。为知识获取提供了有益的思路与方法。
Abstract:
As an effective tool for knowledge discovery and data processing, the concept lattice has been widely applied in many fields. Searching all concepts in a formal context is a basic problem for research into concept lattice theory. On the basis of attribute topology and combined with the idea of graph theory, an algorithm to construct a concept lattice in a fixed formal context is given. The process is as follows:firstly, a weakened attribute topology was built up; then, by applying the method of searching the maximum cycle with a weight in the above weakened attribute topology, all of the formal context concepts were obtained; finally the concept lattice was established. Subsequent analysis illustrated that the algorithm can reduce complexity compared with some existing algorithms. In addition, using an example, the accuracy and validity of the algorithm was verified. The result presents a useful idea and method for knowledge acquisition.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-06-02。
基金项目:国家自然科学基金项目(61572011);河北省自然科学基金项目(A2013201119).
作者简介:毛华,女,1963年生,教授,博士,主要研究方向为计算机数学及其应用、拟阵理论、离散数学。发表学术论文90余篇,其中被SCI、EI检索20余篇。
通讯作者:刘祎超.E-mail:1026074348@qq.com.
更新日期/Last Update: 1900-01-01