用模糊测量和D/S证据论模拟学生的知识水平

AN APPROACH TO STUDENT KNOWLEDGE MODELING BY FUZZY MEASURE AND D/S THEORY OF EVIDENCE

本文以“智能型数学分析CAI”项目作为实验基础，研究了ICAI系统中的瓶颈：建模学生，评估学生当前知识水平这一难题．首次尝试将模糊数学和D／S证据理论一起用于模拟学生的知识水平、表现学生的知识结构，提出了一个ICAI系统中的学生知识评估模型．并且以数学分析为领域，以函数极限计算为示例。

This paper studies the difficult problem of ICAI: student modeling in developing 'ICAI ofMathematical Analysis'. It uses fuzzy theory and D/S theory of evidence in modeling student knowledgeand presents a student knowledge evaluation model (SKEM) of ICAI. The model is illustrated by the calculation of function limit of mathematical analysis. The SKEM prototype is undergoing field - testing inthe function limit of mathematical analysis. The preliminary result is rather encouraging.