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  本文選題：軟集 + Vague軟集��； 參考：《西南交通大學(xué)》2017年碩士論文

【摘要】：隨著信息科學(xué)與技術(shù)的快速發(fā)展,數(shù)據(jù)庫數(shù)量不斷地增大,而在這些數(shù)據(jù)中存在各種各樣的不確定性問題,如何有效地對這些數(shù)字信息進行管理并從中獲取所需的知識已經(jīng)成為當(dāng)前信息技術(shù)研究的熱點之一。1999年,Molodtsov提出了軟集理論,認(rèn)為對于復(fù)雜事務(wù)可以從不同的側(cè)面進行分析,其結(jié)果都是對復(fù)雜事務(wù)的近似刻畫,將這些近似刻畫綜合后可以得到對復(fù)雜事務(wù)相對精確的描述。軟集作為一種新的處理不確定性問題的數(shù)學(xué)工具,在不確定性決策領(lǐng)域獲得了廣泛應(yīng)用。本文主要研究軟集在關(guān)聯(lián)規(guī)則挖掘中的應(yīng)用,主要工作如下:一、討論了 Vague軟集排序方法�；�于Vague軟集的相關(guān)運算以及可能度理論,針對Vague軟集中對象提出了一種排序方法,進而給出了 Vague軟集的一種排序方法,討論了排序方法的基本性質(zhì)。通過例子說明了本文提出的對象排序方法以及Vague軟集排序方法的有效性。二、討論了基于軟真度的關(guān)聯(lián)規(guī)則挖掘方法�；�于軟集的邏輯公式,提出了一種基于軟集的關(guān)聯(lián)規(guī)則挖掘方法。將軟真度引入軟集數(shù)據(jù)關(guān)聯(lián)規(guī)則挖掘,利用軟真度描述屬性集之間的依賴關(guān)系;刻畫了軟真度與支持度之間的聯(lián)系,給出了滿足給定的支持度閾值和可信度閾值的軟關(guān)聯(lián)規(guī)則挖掘方法。實例分析結(jié)果表明,該方法可約簡冗余,提高效率。
[Abstract]:With the rapid development of information science and technology, the number of databases is increasing, and there are various uncertainties in these data. How to manage these digital information effectively and obtain the necessary knowledge from them has become one of the hot topics in information technology research. In 1999, Molodtsov proposed soft set theory, which holds that complex transactions can be analyzed from different aspects. The results are all approximate characterizations of complex transactions, and a relatively accurate description of complex transactions can be obtained by synthesizing these approximations. As a new mathematical tool to deal with uncertain problems, soft sets have been widely used in uncertain decision making field. This paper mainly studies the application of soft set in association rule mining. The main work is as follows: first, the sorting method of Vague soft set is discussed. Based on the correlation operation of Vague soft sets and the possibility degree theory, this paper presents a sort method for Vague soft set objects, then gives a sort method of Vague soft set, and discusses the basic properties of the sorting method. An example is given to illustrate the validity of the proposed method and the Vague soft set sorting method. Secondly, the method of mining association rules based on soft trueness is discussed. Based on the logic formula of soft set, a method of association rule mining based on soft set is proposed. The soft truth degree is introduced into the soft set data association rules mining, and the dependence relation between the attribute set is described by using the soft truth degree, and the relation between the soft truth degree and the support degree is described. A soft association rule mining method satisfying the given support threshold and confidence threshold is presented. The analysis results show that this method can reduce redundancy and improve efficiency.
【學(xué)位授予單位】：西南交通大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O159;TP311.13

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本文編號：1780326