属性蕴含Q矩阵理论的认知诊断模型

The Cognitive Diagnosis Model of Q Matrix Theory with Attribute Implication

引入属性蕴含的Q矩阵理论扩展了传统Q矩阵理论.属性的先决关系是属性蕴含的特殊形式,寻找属性蕴含Q矩阵理论中合适的认知诊断模型具有重要的理论与应用意义.就满足属性蕴含的Q矩阵,视其为形式概念分析中的形式背景,形势背景诱导的概念格亦为认知诊断模型.研究成果可进一步丰富Q矩阵理论与方法.

The Q matrix theory introduced with attribute implication has expanded the traditional Q matrix theory.The prerequisite relationship of attributes is a distinctive form of attribute implication and an appropriate cognitive diagnosis model for Q matrix theory can realize profound significance both theoretically and pragmatically. The Q matrices that meet the conditions of the formal concept analysis are considered as the formal context of formal cognitive analysis and the concept lattices induced by formal concept are regarded as cognitive analysis models. The results of this study can broaden the prospects of Q matrix theory and its methods.