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

作　　者：武永华[1] 杨淑群[2] 

机构地区：[1]福建江夏学院,福建福州350108 [2]福建师范大学软件学院,福建福州350007

出　　处：《江西师范大学学报（自然科学版）》2016年第3期295-298,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金青年科学基金(51503036);教育部人文社会科学研究一般项目青年基金(10YJCXLX049);福建省自然科学基金(2013J01119)资助项目

摘　　要：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.

关 键 词：属性蕴含 概念格 认知诊断 Q矩阵 

分 类 号：B841[哲学宗教—基础心理学]