用矩阵行运算方法求解原子、知识基和学习空间  

Matrix Row Operations of Atoms, Knowledge Base and Learning Space

作　　者：黄丽萍 李进金 HUANG Liping;LI Jinjin(School of Computer Science,Minnan Normal University,FujianZhangzhou 363000,China;Fujian Provincial University Key Laboratory of Data Science and Intelligent Application,FujianZhangzhou 363000,China;School of Mathematics and Statistics,Minnan Normal University,FujianZhangzhou 363000,China;School of Mathematics and Computer Science,Quanzhou Normal University,FujianZhangzhou 362000,China)

机构地区：[1]闽南师范大学计算机学院,福建漳州363000 [2]福建省数据科学与智能应用重点实验室,福建漳州363000 [3]闽南师范大学数学与统计学院,福建漳州363000 [4]泉州师范学院数学与计算机科学学院,福建泉州362000

出　　处：《河北师范大学学报（自然科学版）》2024年第5期462-469,共8页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金项目(12271191);福建省2022本科高校教育教学研究项目(FBJG20220091)。

摘　　要：原子、知识基和学习空间是知识空间理论的重要概念.本文在Dowling提出的计算知识基方法的基础上,运用矩阵行运算方法求解知识空间中的原子和知识基;根据极小知识状态和极小技能集的定义,发现矩阵行运算方法同样适用于技能约简的求解,并通过行运算后的矩阵得到每个问题和极小知识状态的关系,判别知识空间是否是良级;最后,通过添加新的有效技能,将非良级的知识空间转换为学习空间.In knowledge space theory, atoms, knowledge base and learning space are crucial ideas.This work solves atoms and knowledge base in the knowledge space using the matrix row operation method, which is based on the computational knowledge base method proposed by Dowling. According to the definitions of minimum knowledge state and minimum skill set, it is found that the matrix row operation method is also suitable for solving skill reduction, and the relationship between each problem and the minimum knowledge state is obtained through the matrix after row operation to determine whether the knowledge space is well-graded. Lastly, the non well-graded knowledge space is changed into the learning space by adding new, useful skills.

关 键 词：知识基 原子 知识空间 技能约简 良级 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]