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概率逻辑与模糊逻辑在精细化学习诊断中的对比研究 被引量:1

A Comparative Study of Probabilistic Logic and Fuzzy Logic in Refined Learning Diagnosis
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摘要 精细化学习诊断有助于客观准确探究学生学习现状,为实施有针对性的补救教学提供理论和数据支持。本文对比研究概率逻辑与模糊逻辑在精细化学习诊断中的表现。首先,从"概念"视角介绍和对比两种逻辑。其次,介绍两个分别基于上述两逻辑的代表性模型:HO-PINC和Fuzzy-DINA。然后,对比两模型在五个实证数据上表现。最后,通过模拟研究进一步对比两模型的心理计量学性能。DIC等模型-数据拟合指标和RMSE等参数返真性指标的结果表明两模型对同一批数据有较一致的分析结果。建议实践者忽略模型选择对数据分析的影响,从概念或思辨视角入手选择使用概率逻辑或模糊逻辑来定义属性。 Learning diagnosis can be regarded as the application of cognitive diagnosis in learning assessment. Currently, most conventional learning diagnosis models(LDM) are constructed based on binary attributes, and the diagnosis results show that students’ knowledge of each attribute can be classified into two categories: mastery and non-mastery. However, this dichotomy is too crude to satisfy the refined assessment of student’s learning statue and thus cannot realize the fine distinction of individual differences between different students. Therefore, the development of LDM with refined learning diagnosis function is a topic of both theoretical and practical significance Currently, there are two kinds of refined LDMs, i.e., the probabilistic LDMs and the fuzzy LDMs, which are respectively based on probabilistic logic and fuzzy logic. However, currently, no studies have compared these two models, which bring difficulties to practitioners in model selection. To this end, this study compares and analyzes the application effects of probabilistic logic and fuzzy logic in refined learning diagnosis from four perspectives: concept, model function, empirical data analysis, and simulation study.Firstly, probability logic and fuzzy logic are introduced and compared from the perspective of concept. Essentially, fuzzy logic is a type of deterministic uncertainty and probability logic is a type of uncertain determinacy. They focus on two different kinds of uncertainties in the same event, one is the uncertainty of event occurrence, and another one is the event ambiguity(i.e., to what degree it occurs).Secondly, two representative LDMs based on probability logic and Fuzzy logic are introduced: the HO-PINC model and the Fuzzy-DINA model. The item response functions of them are quite similar. And the main difference between them is that the probability or degree of ideal correct response of person n to item i is defined in different ways, i.e.,■ for the HO-PINC model and minimum ■ for the Fuzzy-DINA model,where δ and t is th
作者 詹沛达 田亚淑 于照辉 李菲茗 王立君 Zhan Peida;Tian Yashu;Yu Zhaohui;Li Feiming;Wang Lijun(College of Teacher Education,Zhejiang Normal University,Jinhua,321004)
出处 《心理科学》 CSSCI CSCD 北大核心 2020年第5期1258-1266,共9页 Journal of Psychological Science
基金 国家自然科学青年基金(31900795,31600908) 浙江省自然科学基金(LY16C090001) 教育部人文社会科学青年基金项目(19YJC190025) 浙江省教育科学规划重点课题(2019SB112)的资助。
关键词 学习诊断 认知诊断 概率逻辑 模糊逻辑 learning diagnosis cognitive diagnosis probabilistic logic fuzzy logic
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