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成對(duì)比較陣中權(quán)重計(jì)算的馬氏鏈方法

發(fā)布時(shí)間:2018-03-18 20:40

  本文選題:成對(duì)比較陣 切入點(diǎn):馬氏鏈 出處:《數(shù)學(xué)的實(shí)踐與認(rèn)識(shí)》2017年17期  論文類(lèi)型:期刊論文


【摘要】:成對(duì)比較陣廣泛應(yīng)用于綜合評(píng)判中的權(quán)重計(jì)算.由于客觀事物的復(fù)雜性和決策者認(rèn)識(shí)的多樣性,常常造成了成對(duì)比較陣的不一致性、非互反性和殘缺.將成對(duì)比較陣反復(fù)調(diào)整的動(dòng)態(tài)行為對(duì)應(yīng)于馬氏鏈,證明了過(guò)程是正則鏈,并利用正則鏈的穩(wěn)定分布作為權(quán)向量.方法對(duì)滿(mǎn)足一致性條件的成對(duì)比較陣所得結(jié)果與原方法一致,同時(shí)可以方便地用于具有不一致性、非互反性或者殘缺的情況,從而為權(quán)重計(jì)算提供了新的簡(jiǎn)單方法.
[Abstract]:The weight matrix of pair comparison is widely used in comprehensive evaluation calculation. Because of complexity and diversity of the decision makers of objective things know, often causing the inconsistency of the pairwise comparison matrix, non reciprocal and incomplete. The dynamic behavior of comparison matrix corresponding to the repeated adjustment of Markov chain, proved that the process is a regular chain the use of regular chain, and stable distribution as the weight vector method. To satisfy the consistency conditions of the pairwise comparison matrix is consistent with the original method, and can be used conveniently for inconsistency, non reciprocal or incomplete, so as to provide a simple weight calculation method.

【作者單位】: 空軍預(yù)警學(xué)院預(yù)警情報(bào)系;中船重工集團(tuán)701研究所;華中科技大學(xué)自動(dòng)化學(xué)院;武昌首義學(xué)院基礎(chǔ)科學(xué)部;
【分類(lèi)號(hào)】:O211.62

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1 阿瑪娜(Amna Nazeer);擴(kuò)展的成對(duì)比較模型的貝葉斯分析[D];華中科技大學(xué);2015年

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本文編號(hào):1631245

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