形式概念分析中的粗糙集方法

Rough set methods in formal concept analysis

粗糙集理论的一个重要研究方向就是通过可定义集和概念来近似不可定义集合和概念,包括了构造可定义集和定义近似算子的过程。将粗糙集方法引入形式概念分析,针对形式背景下的三种不同类型的概念格,通过构造近似算子,将不可定义集合用上下近似描述。本研究加深了对粗糙集理论和形式概念分析进行数据挖掘的理解。

This paper deals with approximation of concepts. An important topic of rough set theory is the approximation of undefinable sets or concepts through definable sets. It involves the construction of a system of definable sets and the definition of approximation operators. For three types of concept lattices, the notion of rough set approximations is introduced into formal concept analysis. Approximation operators are constructed and undefinable sets are descripted by upper and lower approximation. The results provide a better understanding of data analysis using rough set theory and formal concept analysis.