变精度模型构建的知识结构  

Knowledge Structures Delineated by Variable Precision Models

作　　者：黄传义 黄韩亮 杨竞菁[3] 王启君 李进金 HUANG Chuanyi;HUANG Hanliang;YANG Jingjing;WANG Qijun;LI Jinjin(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China;Fujian Key Laboratory of Granular Computing and Applications,Zhangzhou 363000,China;School of Mathematics and Computer Science,Quanzhou Normal University,Quanzhou 362000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000 [2]福建省粒计算及其应用重点实验室,福建漳州363000 [3]泉州师范学院数学与计算机科学学院,福建泉州362000

出　　处：《山西大学学报(自然科学版)》2025年第1期43-54,共12页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(12271191,11871259);福建省自然科学基金(2023J01122,2023J01125,2023J05175,2022J01306,2022J05169,2021J01984)。

摘　　要：如何构建知识结构是知识空间理论研究的热点。α-变精度模型有效融合析取和合取两种模型构建知识结构。本文基于α-变精度模型提出了三种γ-变精度模型,探讨了其构建知识结构的性质,并研究了四种变精度模型之间的联系;其次,本文通过研究矩阵乘法与技能包含度的关系,提出了基于变精度模型的矩阵方法来构建知识结构,并设计了相应算法;最后,选取七个数据集进行实验,对比了本文算法与变精度模型现有算法在构建知识结构上的性能,实验结果显示,本文算法明显减少了运行时间,特别在处理较大数据集时更为明显。The construction of knowledge structures is a focal point in the knowledge space theory.The α-variable precision model effectively integrates the disjunctive and conjunctive models to construct knowledge structure.This paper proposes three types ofγ-variable precision models based on theα-variable precision model,explores the properties of the knowledge structures they construct,and investigates the relationships among the four types of variable precision models.Furthermore,we develop a matrix method based on variable precision models to construct knowledge structures by studying the relationship between matrix multiplication and skill inclusion degree and design a corresponding algorithm.Finally,seven datasets are selected for experimentation to compare the performance of the algorithm in this paper with existing algorithms of variable precision models in constructing knowledge structures.The experimental results show that our algorithm significantly reduces the running time.This advantage is particularly evident when dealing with larger datasets.

关 键 词：知识空间理论 技能映射 析取模型 合取模型 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]