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| 基于形式概念分析的状态空间图及其在CAT中的应用 | |
| 引用本文： | 杨淑群,丁树良,丁秋林. 基于形式概念分析的状态空间图及其在CAT中的应用[J]. 武汉大学学报(工学版), 2007, 40(4): 125-129 |
| 作者姓名： | 杨淑群 丁树良 丁秋林 |
| 作者单位： | 1. 南京航空航天大学信息科学与技术学院,江苏,南京,210016;福建师范大学软件学院,福建,福州,350007 2. 江西师范大学计算机信息工程学院,江西,南昌,330027 3. 南京航空航天大学信息科学与技术学院,江苏,南京,210016 |
| 基金项目： | 国家自然科学基金;福建省教育厅科研项目 |
| 摘 要： | 在格论的基础上,以属性为桥梁建立了形式概念分析与问题的状态空间图的联系,引进有解问题状态空间图的核(简称为核)的概念,建立概念格与核为"格中格"、核与概念格为"格与格"的结构,并把此理论应用于具有认知诊断功能的CAT,采用蒙特卡罗模拟进行试验,结果良好. |
| 关 键 词： | 概念格 状态空间图 核 CAT |
| 文章编号： | 1671-8844（2007）04-0125-05 |
| 修稿时间： | 2006-11-29 |
Application of state space graph to CAT based on formal concept analysis |
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| YANG Shuqun,DING Shuliang,DING Qiulin. Application of state space graph to CAT based on formal concept analysis[J]. Engineering Journal of Wuhan University, 2007, 40(4): 125-129 | |
| Authors: | YANG Shuqun DING Shuliang DING Qiulin |
| Affiliation: | 1. College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, China; 2. College of Computer Information Engineering, Jiangxi Normal University, Nanchang 330027, China; 3. Faculty of Software, Fujian Normal University, Fuzhou 350007, China |
| Abstract: | In light of the lattice theory,the relation between formal concept analysis and state space graph is set up.Kernel is defined.The structure of "lattice in lattice" between concept lattice and kernel is constituted;and "lattice and lattice" between kernel and concept lattice is established.The theory of this paper is applied to computerized adaptive testing(CAT) with cognitive diagnosis;and the result of Monte Carlo simulation of the CAT is better. |
| Keywords: | CAT |
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