基于关系的函数题目自动解析和解答方法  

FUNCTION PROBLEM SOLVING METHOD BASED ON RELATION

作　　者：孙慧慧[1] 余新国 孟皓 吕小攀 Sun Huihui;Yu Xinguo;Meng Hao;LüXiaopan(National Engineering Research Center for E-Learning,Central China Normal University,Wuhan 430079,Hubei,China)

机构地区：[1]华中师范大学国家数字化学习工程技术研究中心,湖北武汉430079

出　　处：《计算机应用与软件》2024年第2期257-263,共7页Computer Applications and Software

基　　金：国家自然科学基金项目(61977029)。

摘　　要：关系表示作为数学题目解答的基本问题而广受关注,而对于含有函数的题目解答,由于函数关系本身的复杂性以及表达方式的多样性,使得该问题超出了现有解题范围,为解答提出了新的挑战。针对这一问题,提出一种基于关系的自动解析和解答算法。扩展关系表示方式使其满足函数关系表示与计算的需要;通过改进句法语义模型和提出图形关系模式分别从文字和图形中提取关系;根据函数的模型化定义识别和提取函数关系;利用函数关系与数量关系进行等量代入,消除参数得到解答结果。对采集的数据集进行验证,与基于框架的基线方法相比较,该算法能够获得较好的结果,有效完成了83%的题目理解和66%的正确解答率。As a basic problem of mathematical problem solving,relational representation has attracted much attention.However,for the solving problems with function,because of the complexity of function relationship and the diversity of expression,it is beyond the scope of existing problem-solving and poses new challenges for the domain.Aiming at this problem,this paper proposes a relation-based automatic solving algorithm.The relation representation was extended to meet the needs of function relation representation and calculation.The relations were extracted from the text and graph by improving the syntactic and semantic model and the proposed graph relation pattern.The function relation was identified and extracted according to the model definition of function.The function relation and quantity relation were substituted equally to get the solution result by eliminating extra parameters.Compared with the baseline method based on the solving framework on the collected dataset,the proposed algorithm can achieve better results,effectively completing 83%of the problem understanding and 66%of the correct answer rate.

关 键 词：数学题目解答 关系解答 函数关系 句法语义模型 自动解答 

分 类 号：TP391.6[自动化与计算机技术—计算机应用技术]