基于粗糙集的三元概念分析

Triadic concept analysis based on rough set theory

将粗糙集近似算子引入到三元概念分析中,定义了对象定向三元概念和属性定向三元概念。首先,基于三元背景中的三元关系提出了可能性算子和必然性算子,并研究了这两类诱导算子的性质。其次,基于这两类诱导算子定义了对象定向三元概念和属性定向三元概念。最后,构造了三元图更直观地描述对象定向三元概念和属性定向三元概念。

Rough set approximation operators are introduced into triadic concept analysis to define object oriented triadic concepts and property oriented triadic concepts. Firstly, a possibility operator and a necessity operator are defined based on the ternary relation between the object set, attribute set and condition set of a triadic context. And properties of those two types of derivation operators are obtained. Then object oriented triadic concepts and property oriented triadic concepts are defined by using those two types of derivation operators. Finally, triadic diagrams are designed to describe all these object oriented triadic concepts and property oriented triadic concepts more directly.