本文選題：數(shù)學(xué)表達(dá)式 + 猶豫模糊集合　； 參考：《河北大學(xué)》2017年碩士論文

【摘要】：隨著網(wǎng)絡(luò)中文檔數(shù)量的與日俱增,人們的檢索需求也在不斷增加,數(shù)學(xué)表達(dá)式是大量網(wǎng)絡(luò)文檔的重要組成部分,人們經(jīng)常會(huì)希望通過(guò)數(shù)學(xué)表達(dá)式在搜索引擎中檢索所需的相關(guān)文檔,但目前這一需求還難以得到滿足。針對(duì)數(shù)學(xué)表達(dá)式復(fù)雜的二維結(jié)構(gòu)及語(yǔ)法特征造成的數(shù)學(xué)表達(dá)式及其相關(guān)文檔排序困難的問(wèn)題,分別提出面向數(shù)學(xué)表達(dá)式以及面向相關(guān)文檔的數(shù)學(xué)檢索結(jié)果排序方法,利用猶豫模糊集在處理多特征、多隸屬度模式方面的優(yōu)勢(shì),計(jì)算數(shù)學(xué)表達(dá)式間的相似度,構(gòu)造文檔得分函數(shù),實(shí)現(xiàn)基于猶豫模糊集的數(shù)學(xué)表達(dá)式檢索結(jié)果有序輸出。首先,通過(guò)數(shù)學(xué)表達(dá)式解析算法對(duì)數(shù)學(xué)表達(dá)式特征進(jìn)行提取分析,構(gòu)造數(shù)學(xué)表達(dá)式相關(guān)評(píng)價(jià)屬性集合,并對(duì)每個(gè)評(píng)價(jià)指標(biāo)定義隸屬度函數(shù),通過(guò)猶豫模糊集合理論將每個(gè)數(shù)學(xué)表達(dá)式轉(zhuǎn)換為對(duì)應(yīng)的猶豫模糊集合計(jì)算相似度,并與數(shù)學(xué)檢索系統(tǒng)相結(jié)合實(shí)現(xiàn)面向數(shù)學(xué)表達(dá)式的檢索結(jié)果有序輸出。在表達(dá)式相似度基礎(chǔ)上,對(duì)網(wǎng)絡(luò)中文檔特征進(jìn)行分析提取,構(gòu)造文檔評(píng)價(jià)屬性及相應(yīng)的隸屬度函數(shù),設(shè)計(jì)了基于猶豫模糊集的文檔得分函數(shù)。在實(shí)驗(yàn)階段對(duì)基于猶豫模糊集理論的數(shù)學(xué)檢索結(jié)果排序方法進(jìn)行了驗(yàn)證,并與現(xiàn)有排序方法進(jìn)行對(duì)比研究,實(shí)驗(yàn)表明本文提出方法對(duì)數(shù)學(xué)表達(dá)式及相關(guān)文檔的排序具有良好的有效性及適應(yīng)性。
[Abstract]:With the increasing number of documents in the network, people's retrieval requirements are also increasing, mathematical expressions are an important part of a large number of network documents. People often hope to retrieve the relevant documents in search engines through mathematical expressions, but this demand is still difficult to meet. Aiming at the difficulty of sorting mathematical expressions and related documents caused by the complicated two-dimensional structure and grammatical features of mathematical expressions, a sorting method for mathematical retrieval results oriented to mathematical expressions and related documents is proposed, respectively. Taking advantage of the advantages of hesitating fuzzy sets in dealing with multiple features and multiple membership degree patterns, the similarity between mathematical expressions is calculated, the document score function is constructed, and the ordered output of retrieval results of mathematical expressions based on hesitating fuzzy sets is realized. Firstly, the feature of mathematical expression is extracted and analyzed by the analytic algorithm of mathematical expression, and the set of related evaluation attributes of mathematical expression is constructed, and the membership function is defined for each evaluation index. Based on the theory of hesitant fuzzy set, each mathematical expression is transformed into the corresponding fuzzy set to calculate the similarity, and combined with the mathematical retrieval system to realize the ordered output of the retrieval result oriented to the mathematical expression. On the basis of expression similarity, the paper analyzes and extracts the document features in the network, constructs the document evaluation attribute and the corresponding membership function, and designs the document score function based on the hesitant fuzzy set. In the experiment stage, the sorting method of mathematical retrieval results based on the theory of hesitant fuzzy sets is verified, and compared with the existing sorting methods. Experiments show that the proposed method has good validity and adaptability to the sorting of mathematical expressions and related documents.
【學(xué)位授予單位】：河北大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TP391.3

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本文編號(hào)：1881578