Relations of reduction between covering generalized rough sets and concept lattices
Relations of reduction between covering generalized rough sets and concept lattices
复制标题
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
中科院分区:
文献类型:
--
作者:
陈锦坤;李进金;林耀进;林国平;马周明
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.
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