一种提高判断矩阵一致性程度的方法

发布时间：2018-01-22 09:40

本文关键词： 层次分析法判断矩阵完全一致矩阵基本一致矩阵　出处：《科技导报》2010年06期 　论文类型：期刊论文

【摘要】：层次分析法是一种实用的多维决策方法。在运用层次分析法的过程中,需要对判断矩阵进行一致性检验。若检验不能通过,则应尽可能小幅度地调整部分元素后再检验,从而达到既能最大程度地保留原有信息又能提高矩阵的一致性程度的目的。目前,许多学者提出了提高判断矩阵一致性程度的多种方法,但这些方法的局限性是有时某些元素调整前后的变化太大,且需调整的元素较多,这显然违背了决策者的最初意愿。本文提出由判断矩阵中行列对应元素乘积的算术平均值与相应元素偏差的最大值来判别与调整不合理元素,进而提高判断矩阵一致性程度的方法。该方法可预先设定调整幅度,最大程度地保留原有信息。不合理元素的判别方法具有简洁、有效、快速的特点。整个调整过程计算简单,既可人工也可利用计算机进行。
[Abstract]:The Analytic hierarchy process (AHP) is a practical multidimensional decision making method. In the process of using AHP, we need to check the consistency of the judgment matrix. Then we should adjust some elements as small as possible and then check them so that we can keep the original information as much as possible and improve the consistency of the matrix. At present. Many scholars have proposed a variety of methods to improve the consistency of judgment matrix, but the limitation of these methods is that sometimes some elements change too much before and after adjustment, and there are more elements to be adjusted. This is obviously contrary to the original will of the decision maker. In this paper, we propose to judge and adjust the unreasonable elements by the arithmetic mean value of the product of the corresponding elements in the judgment matrix and the maximum deviation of the corresponding elements. The method can set the adjustment amplitude in advance and retain the original information to the maximum extent. The method of judging unreasonable elements is simple and effective. The whole adjustment process is easy to calculate and can be carried out either manually or by computer.
【作者单位】：无锡商业职业技术学院基础部;
【基金】：江苏省2006年度“青蓝工程”项目
【分类号】：C934
【正文快照】： 0引言美国匹兹堡大学Thomas L.Saaty于20世纪70年代提出的层次分析法(Analytic Hierarchy Process,AHP)是一种定性与定量相结合的决策工具[1]。近年来,AHP由于具有系统性、实用性、简洁性的特点,被广泛应用于社会、经济、科技等领域的系统分析与战略研究。层次分析法的关键是

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