计算机科学与探索 ›› 2010, Vol. 4 ›› Issue (12): 1147-1152.DOI: 10.3778/j.issn.1673-9418.2010.12.009

• 学术研究 • 上一篇    

形式背景的交约简

李仲玲, 米据生+   

  1. 河北师范大学 数学与信息科学学院, 石家庄 050016
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2010-12-01 发布日期:2010-12-01
  • 通讯作者: 米据生

Meet-Reduction in Formal Context

LI Zhongling, MI Jusheng+

  

  1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2010-12-01 Published:2010-12-01
  • Contact: MI Jusheng

摘要: 从拓扑的角度研究形式背景的属性约简问题。对于非决策形式背景, 提出基于集合交集的属性约简的新的定义, 并得出了交协调集的判定定理, 证明了交协调集与概念格协调集是等价的; 最后, 讨论了带有决策的形式背景的属性约简问题。

关键词: 覆盖, 协调集, 属性约简, 形式背景

Abstract: Attribute reduction in formal context is proposed in terms of topology. Firstly, a new definition of attribute reduction in formal context is proposed, and an approach to such attribute reduction is constructed. Furthermore, the connection between meet-reduction and concept lattice-based reduction is discussed. Finally, attribute reduction in consistent decision formal context is explored.

Key words: covering, consistent set, attribute reduction, formal context

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