摘要： 针对数学表达式符号种类繁多、结构复杂多变、语法语义丰富等特点,提出一种检索结果相关排序算法,利用犹豫模糊集在处理多特征、多隶属度模式方面的优势,计算数学表达式间的相似度,实现基于相似度的数学表达式检索结果的相关排序。通过归纳数学表达式的符号、结构、语法、语义方面的特征,建立数学表达式的相似度函数,对数学表达式检索系统中用户查询式与检索结果集中数学表达式之间的相似程度进行综合多视角的测量。实验结果表明,该算法能实现数学表达式检索系统结果数据的有序输出,有助于改善数学表达式检索系统的性能。

关键词: 数学表达式, 犹豫模糊集, 检索, 相似度, 相关排序

Abstract: Aiming at the characteristics of mathematical expressions,such as the diversity of mathematical symbols,the complexity of structures and the richness of semantics,a mathematical expression retrieval results ranking algorithm is proposed.It utilizes the advantages of the hesitant fuzzy sets in dealing with the problems with multiple features and membership values to calculate the similarity between mathematical expressions,based on which the mathematical expressions are ranked.It measures the similarity of mathematical expressions through constructing the hesitant fuzzy membership with the multidimensional characteristics of the symbols,structures,grammar and semantics of mathematical expressions.Experimental results show that the algorithm can not only realize ordered output of search result data,but also improve the performance of mathematical expression retrieval system.

Key words: mathematical expression, hesitant fuzzy set, retrieval, similarity, relevance ranking

中图分类号: 

• TP301.6