多分知识结构的基与交式生成组

孙文; 李进金; 林艺东; 黄晓丽

doi:10.16152/j.cnki.xdxbzr.2026-03-014

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多分知识结构的基与交式生成组

粒计算与认知学习 | 更新时间：2026-07-07

- 多分知识结构的基与交式生成组
- Bases and intersection generation groups of polytomous knowledge structures
- 西北大学学报（自然科学版） 2026年56卷第3期页码：618-626
- 作者机构：
  
  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
- 作者简介：
  
  孙文，男，讲师，硕士生导师，从事知识结构、认知诊断、模糊集理论等研究，wsun0907@126.com。
  李进金，男，教授，博士生导师，从事概念格、拓扑学、知识结构等研究，jinjinlimnu@126.com。
- 基金信息：
  
  国家自然科学基金(12301585);福建省自然科学基金(2023J05175;2024J08207);福建省教育厅科学研究基金(JAT220213)
- DOI：10.16152/j.cnki.xdxbzr.2026-03-014
  中图分类号： TP182
- 收稿：2026-01-30，
  
  修回：2026-02-17，
  
  纸质出版：2026-06-25
- 稿件说明：
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孙文, 李进金, 林艺东, 等. 多分知识结构的基与交式生成组[J]. 西北大学学报（自然科学版）, 2026,56(3):618-626.

SUN Wen, LI Jinjin, LIN Yidong, et al. Bases and intersection generation groups of polytomous knowledge structures[J]. Journal of Northwest University (Natural Science Edition), 2026, 56(3): 618-626.
孙文, 李进金, 林艺东, 等. 多分知识结构的基与交式生成组[J]. 西北大学学报（自然科学版）, 2026,56(3):618-626. DOI： 10.16152/j.cnki.xdxbzr.2026-03-014.

SUN Wen, LI Jinjin, LIN Yidong, et al. Bases and intersection generation groups of polytomous knowledge structures[J]. Journal of Northwest University (Natural Science Edition), 2026, 56(3): 618-626. DOI： 10.16152/j.cnki.xdxbzr.2026-03-014.

摘要

在多分知识结构理论中，每个问题可以有不同的响应值，个体对问题的回答反映了个体对知识的理解水平。多分知识空间可由它的基来刻画，多分闭包空间可由其极小交式生成组来表示。问题不同响应值的多分知识空间的基由它的原子组成，而多分闭包空间的极小交式生成组由其所有交式生成子构成。基于问题不同响应值的多分知识结构对个体进行知识评价，可以通过测试部分问题评价出个体的多分知识状态，从而对个体进行学习指导。

Abstract

In polytomous KST

each item can be assigned a different response scale

and the individual’s answer to items reflects the individual’s understanding level of knowledge. The polytomous knowledge space can be described by its basis

and the polytomous closure space can be represented by its minimal intersection generation group. The basis of a polytomous knowledge space based on different response scales is composed of its atoms

while the minimal intersection generation group of a polytomous closure space is composed of all intersection generators. Based on polytomous knowledge structures of different response scales of items

the polytomous knowledge state of an individual can be evaluated in the finite steps of item tests. Based on polytomous knowledge structures of different response scales of items

the polytomous knowledge state of an individual can be evaluated by testing some items so as to guide learning of individuals.

关键词

Keywords

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