Relations of reduction between covering generalized rough sets and concept lattices

Relations of reduction between covering generalized rough sets and concept lattices
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覆盖广义粗糙集与概念格之间的约简关系

DOI:
10.1016/j.ins.2014.11.053
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发表时间:
2015-05
影响因子:
8.1
通讯作者:
马周明
马周明
中科院分区:
计算机科学1区
文献类型:
--
作者:
陈锦坤;李进金;林耀进;林国平;马周明

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约简理论在数据分析中起着重要的作用。研究了覆盖约简与概念格属性约简之间的关系。从概念格的角度研究覆盖约简问题。反之,在覆盖广义粗糙集框架下研究了形式背景的属性约简问题。本文的结果表明,覆盖的约简可以看作是派生形式背景的属性约简。此外,一个给定的形式背景的每个约简都可以看作是一个诱导覆盖的约简。作为理论结果的应用,提出了一种基于覆盖广义粗糙集的概念格属性约简方法。最后通过实验验证了该方法的有效性。
The reduction theory plays an important role in data analysis. This paper studies the relation between the reduction of a covering and the attribute reduction of a concept lattice. The reduction of a covering from the perspective of concept lattices is investigated. Conversely, the attribute reduction of a formal context is studied in the framework of covering generalized rough sets. The results in this paper show that the reduction of a covering can be viewed as the attribute reduction of a derivative formal context. Moreover, every reduct of a given formal context can be seen as the reduct of an induced covering. As an application of the theoretical results, an approach to the attribute reduction of concept lattices based on covering generalized rough sets is proposed. Furthermore, experiments are given to show the effectiveness of the proposed method.
DOI: 10.1016/s0019-9958(65)90241-x
发表时间: 1965-01-01
影响因子: --
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