本文選題：粗糙集　切入點(diǎn)：層次分析法　出處：《廣西大學(xué)》2017年碩士論文　論文類(lèi)型：學(xué)位論文

【摘要】：粗糙集理論(RS)主要用于處理不完備信息,優(yōu)勢(shì)在于不需任何先驗(yàn)知識(shí),層次分析法(AHP)可用于定性和定量分析,優(yōu)勢(shì)在于科學(xué)地考慮主觀經(jīng)驗(yàn),將二者結(jié)合應(yīng)用于決策問(wèn)題具有重要意義。目前結(jié)合方式主要有兩種:一是簡(jiǎn)單組合,本質(zhì)上未產(chǎn)生新方法;二是粗糙數(shù)的方式,但僅考慮屬性取值或權(quán)重是區(qū)間粗糙數(shù),尚未考慮方案間比較判斷為區(qū)間粗糙數(shù)的情形,且未形成完整的基于粗糙集的層次分析理論。論文通過(guò)構(gòu)造區(qū)間粗糙數(shù)判斷矩陣,將RS客觀性和AHP主觀性有機(jī)結(jié)合,形成區(qū)間粗糙數(shù)層次分析法,豐富了 RS與AHP結(jié)合的多屬性決策方法研究。主要研究?jī)?nèi)容如下:一是分析現(xiàn)有區(qū)間粗糙數(shù)大小比較方法,給出一種期望和方差結(jié)合的比較方法,以及提出一個(gè)帶決策者偏好的區(qū)間粗糙數(shù)優(yōu)先可能度的定義,并對(duì)其性質(zhì)展開(kāi)討論,進(jìn)而給出基于優(yōu)先可能度的區(qū)間粗糙數(shù)排序方法。二是分析現(xiàn)有標(biāo)度系統(tǒng)和決策者判斷的不確定性,考慮判斷比值為區(qū)間粗糙數(shù),利用云模型中的正逆向云發(fā)生器得到區(qū)間粗糙標(biāo)度表示方法。三是通過(guò)區(qū)間粗糙標(biāo)度構(gòu)造區(qū)間粗糙數(shù)形式的判斷矩陣,在不確定中又帶有一定的精確性,使得判斷值較大概率落入給定的更小區(qū)間中,求解排序向量得到最終方案的排序,從而系統(tǒng)地構(gòu)建區(qū)間粗糙數(shù)層次分析法。
[Abstract]:Rough set theory is mainly used to deal with incomplete information. Its advantage is that it does not need any prior knowledge, the analytic hierarchy process (AHP) can be used for qualitative and quantitative analysis, and the advantage lies in the scientific consideration of subjective experience. It is very important to apply the two methods to the decision making problem. At present, there are two main ways of combination: one is simple combination, the other is rough number, but only considering attribute value or weight is interval rough number. The case that the comparison between schemes is judged as interval rough number has not been considered, and a complete hierarchical analysis theory based on rough set has not been formed. By constructing interval rough number judgment matrix, RS objectivity and AHP subjectivity are combined organically. An interval rough number analytic hierarchy process is formed, which enriches the study of multi-attribute decision making method combining RS and AHP. The main contents are as follows: firstly, the existing interval rough number comparison methods are analyzed, and a comparison method of combining expectation and variance is given. In addition, a definition of interval rough number priority possibility degree with decision makers' preference is proposed, and its properties are discussed. The second is to analyze the uncertainty of the existing scale system and the decision maker, and consider the ratio of judgment to be interval rough number. Using the positive and reverse cloud generator in the cloud model to obtain the interval rough scale representation method. Third, the interval rough scale is used to construct the judgment matrix of interval rough number form, which has certain accuracy in the uncertainty. The higher probability of the judgment value falls into the given interval, and the ranking vector is solved to get the ranking of the final scheme, and then the interval rough number analytic hierarchy process (AHP) is systematically constructed.
【學(xué)位授予單位】：廣西大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：F224;F724.6;F572

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 翁世洲;呂躍進(jìn);;區(qū)間粗糙數(shù)的排序方法及其應(yīng)用[J];南京大學(xué)學(xué)報(bào)(自然科學(xué));2015年04期

2 張芳馨;呂躍進(jìn);;基于空間可能度的區(qū)間粗糙數(shù)多屬性決策方法[J];赤峰學(xué)院學(xué)報(bào)(自然科學(xué)版);2015年13期

3 靳宗偉;郭恒;;基于理想點(diǎn)的區(qū)間粗糙數(shù)型多屬性決策方法[J];重慶理工大學(xué)學(xué)報(bào)(自然科學(xué));2013年05期

4 錢(qián)偉懿;曾智;;基于可能度的區(qū)間粗糙數(shù)排序方法[J];運(yùn)籌與管理;2013年01期

5 章志敏;魏翠萍;;層次分析若干理論與應(yīng)用研究[J];曲阜師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2013年01期

6 呂躍進(jìn);翁世洲;何朝麗;;基于布爾區(qū)分矩陣與關(guān)聯(lián)規(guī)則挖掘的屬性約簡(jiǎn)算法[J];計(jì)算機(jī)應(yīng)用與軟件;2012年10期

7 曾智;錢(qián)偉懿;趙芳芳;;對(duì)方案有偏好的區(qū)間粗糙數(shù)多屬性決策方法[J];渤海大學(xué)學(xué)報(bào)(自然科學(xué)版);2012年02期

8 曾智;曾華;;基于區(qū)間粗糙數(shù)加權(quán)期望多屬性決策方法[J];科技信息;2012年11期

9 徐改麗;呂躍進(jìn);;基于正態(tài)分布區(qū)間數(shù)的多屬性決策方法[J];系統(tǒng)工程;2011年09期

10 呂躍進(jìn);程宏濤;覃菊瑩;;基于相對(duì)熵的互補(bǔ)判斷矩陣排序方法[J];系統(tǒng)工程理論與實(shí)踐;2011年07期

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本文編號(hào)：1652028