摘要： 较普通数学公式而言,线性代数式结构复杂,语法、语义丰富,对其进行检索较困难。为此,对线性代数式检索进行分析,按照用户需求归纳其匹配模式,针对该匹配模式利用犹豫模糊集和线性代数式结构、符号、语法、语义等方面特征,从整体和局部两方面定义犹豫模糊隶属度,并建立线性代数式的相似度函数,从而进行基于犹豫模糊相似度的线性代数式检索结果排序。在6 352个公式上的实验结果表明,该方法能够实现线性代数式检索系统结果数据的有序输出。

关键词: 线性代数式, 检索, 匹配模式, 犹豫模糊集, 相似度函数, 排序

Abstract: Compared with the general mathematical formula,linear algebra formula has more complex structure and richer syntax and semantics,so it is more difficult to achieve its retrieval.Through the analysis of linear algebraic retrieval,several matching modes of linear algebraic formula retrieval are summarized according to user requirements,and aiming at different matching modes,the hesitation fuzzy membership degree is defined from two aspects of the whole and the part by using semantic hesitation fuzzy set and structure,symbols,grammar,semantic of linear algebraic formulas’characteristics,and the similarity function of the linear algebraic expression is established to realize the sorting of the retrieval results of the linear algebraic formula based on hesitation fuzzy similarity.The experimental results of 6 352 formulas show that the method can realize the ordered output of the result data of the linear algebraic retrieval system.

Key words: linear algebraic formula, retrieval, matching mode, hesitation fuzzy sets, similarity function, sorting

中图分类号: 

• TP391.3