属性约简与近似集的关系研究

Study on the Relationship between the Reduction of Attributes and Approximation Sets

上近似和下近似是在粗集理论中最基本的概念,而粗集理论的主要思想又是在保持分类能力不变的前提下通过对属性的约简导出问题的决策和分类规则。本文讨论了属性的约简和相对约简与上近似和下近似的关系,并在此基础上提出了一种新的相对约简———保近似约简。

Upper approximation and lower approximation are the most elementary concepts in rough set theory, while the primary idea in rough set theory is to deduct the decision and rule of classification through reducing the attributes and keeping the ability of classification unchanged. This paper discusses the relationship of reduct and relative reduct and the upper approximation and lower approximation. On the basis of the relationship we propose a novel relative reductholding approximation reduct.