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比较矩阵一致性指标概率密度函数的随机涨落

发表时间:2016-02-28  浏览量:1977  下载量:759
全部作者: 陈景秋
作者单位: 重庆大学航空航天学院
摘 要: 对层次分析法(analytic hierarchy process,AHP)中比较矩阵的一致性进行了统计分析。分析结果表明,比较矩阵满足一致性条件只有很小、甚至几乎为零的概率。基于从Saaty数组中随机选取元素构造的比较矩阵样本的计算数据,给出了比较矩阵一致性指标的概率密度函数图形。结果显示:这些图形均表现出这种一致性分布具有混乱无序而强烈的涨落。
关 键 词: 系统工程;层次分析法;两两比较矩阵;一致性;概率密度
Title: Random fluctuation of the probability density function of the consistency indexes of the pairwise comparison matrices
Author: CHEN Jingqiu
Organization: College of Aerospace Engineering, Chongqing University
Abstract: In this paper, the consistency of the pairwise comparison matrices in analytic hierarchy process (AHP) was statistically studied. It is shown that the consistency of the pairwise comparison matrices has only very small probability, or even almost zero probability. Based on the comparison matrix samples calculated from the Saaty array of randomly selected elements, the density function of consistency of these matrices were given. These curves all show very chaotic and very strong fluctuation.
Key words: systems engineering; analytic hierarchy process; pairwise comparison matrices; consistency; probability density
发表期数: 2016年2月第4期
引用格式: 陈景秋. 比较矩阵一致性指标概率密度函数的随机涨落[J]. 中国科技论文在线精品论文,2016,9(4):383-388.
 
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