New Method for Constructing Comparison Matrix Based on the Proportion Scales in the AHP

The main faults existing in current scale methods are that the scales do not represent the real importance of alternatives and their relations. This paper presents a proportion judgment scale and introduces a new method based on the proportion scale for construction comparison matrix in the analytic hierarchy process (AHP). The proportion judgment scales do not have the faults existing in current scale methods and the comparison matrix constructed by the new scale     

The Consistency Indexes and Its Improvement Method in AHP

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On the Ordinal Consistency of a Judgement Matrix in AHP

We discuss the properties of an ordinal consistency matrix on the base of its directed graph, which benefit deriving the ranking of the compared alternatives.     

The Research for the Distribution of Weight in Synthetic Evaluation

ＴｈｅＲｅｓｅａｒｃｈｆｏｒｔｈｅＤｉｓｔｒｉｂｕｔｉｏｎｏｆＷｅｉｇｈｔｉｎＳｙｎｔｈｅｔｉｃＥｖａｌｕａｔｉｏｎ￥ＭＥＩＳｈａｏｚｕ；ＷＡＮＧＦｅｎｔｉａｎ；ＭＡＳｈｅｎｇｌｉ（ＵｎｉｖｅｒｓｉｔｙｏｆＳｃｉｅｎｃｅ＆ＴｅｃｈｎｏｌｏｇｙＢｅｉｊ...     

The Identification and Revision Methods for the Vector in Comparison Matrix

ＴｈｅＩｄｅｎｔｉｆｉｃａｔｉｏｎａｎｄＲｅｖｉｓｉｏｎＭｅｔｈｏｄｓｆｏｒｔｈｅＶｅｃｔｏｒｉｎＣｏｍｐａｒｉｓｏｎＭａｔｒｉｘＴｈｅＩｄｅｎｔｉｆｉｃａｔｉｏｎａｎｄＲｅｖｉｓｉｏｎＭｅｔｈｏｄｓｆｏｒｔｈｅＶｅｃｔｏｒｉｎＣｏｍｐａｒｉｓｏｎＭ...     

Weight Analysis in Evaluation System

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The Complex System Modeling Method Based on Uniform Design and Neural Network

Ｔｈｅ　Ｃｏｍｐｌｅｘ　Ｓｙｓｔｅｍ　Ｍｏｄｅｌｉｎｇ　Ｍｅｔｈｏｄ　Ｂａｓｅｄ　ｏｎ　Ｕｎｉｆｏｒｍ　Ｄｅｓｉｇｎ　ａｎｄ　Ｎｅｕｒａｌ　ＮｅｔｗｏｒｋＺｈａｎｇＹｏｎｇ（ＢｅｉｊｉｎｇＳｉｍｕｌａｔｉｏｎＣｅｎｔｅｒ，Ｐ．Ｏ．Ｂｏｘ１４２－２３，...     

Solving Multivariate Polynomial Matrix Diophantine Equations with Gr?bner Basis Method

Different from previous viewpoints, multivariate polynomial matrix Diophantine equations are studied from the perspective of modules in this paper, that is, regarding the columns of matrices as elements in modules. A necessary and sufficient condition of the existence for the solution of equations is derived. Using powerful features and theoretical foundation of Gr?bner bases for modules, the problem for determining and computing the solution of matrix Diophantine equations can be solved. Meanwh...     

Study on a Evaluation Method of Vendorst

Based on the background of vendors＇ selection in supply chain management, the theory of entropy is adopted to filter the criteria. With the combination of data envelopment analysis（DEA） model, it can not only to eliminate the exclusive information of criteria, but it can keep the advantages of DEA model as well, which can conveniently conduct to automatic data collection and going on an objective evaluation of the priority of vendors.     

The Strategic Problems on Economy Development in The Jump Pattern of Economics Suplus

ＴｈｅＳｔｒａｔｅｇｉｃＰｒｏｂｌｅｍｓｏｎＥｃｏｎｏｍｙＤｅｖｅｌｏｐｍｅｎｔｉｎＴｈｅＪｕｍｐＰａｔｔｅｒｎｏｆＥｃｏｎｏｍｉｃｓＳｕｐｌｕｓ￥ＺＨＯＵＪｉａｎｚｈｏｎｇ（ＨａｂｅｉＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｈｕａｎｇｓｈｉ，Ｈｕｂｅｉ，...     

AHP判断矩阵的排序度构造方法

常用的标度法不符合人们的语言和心理习惯。针对这一问题提出了排序度判断矩阵间接构造方法 ,它可有效地消除 AHP常用标度法所产生的偏差对实际结论的影响 ,从而可提高评价与决策的可靠性和准确性     

AHP中不一致性判断矩阵调整的新方法

设计了一种交互式的算法,用该算法调整不一致性判断矩阵,可以得到多个满足一致性要求的合理方案,专家或决策者可根据自己的意愿,从这些方案中选择一个满意的方案.实验表明:该算法是有效的、可行的.     

AHP中判断矩阵一致性修正的模式识别法

基于模式识别原理，给出了判断矩阵一致性修正的一种方法。在该方法中，首先把由专家或决策者给出的判断矩阵Ａ转化为ｎ个具有完全一致性的正互反阵。再将这ｎ个正互反阵和Ａ分别转化为反对称阵Ｂ（ｉ），ｉ＝１，…，ｎ和Ｂ。在Ｂ（ｉ），ｉ＝１，…，ｎ生成的线性空间中寻找与Ｂ最贴近的正互反阵Ｂ～＊，将Ｂ～＊对应的满足完全一致性的正互反阵Ａ～＊作为Ａ的修正矩阵，同时得到了Ａ～＊对应于最大特征值ｎ的正特征向量的计算公式。     

Research on Consistency of the Complex Interval Judgement Matrix in AHP

1　IntroductionTheanalytichierarchyprocess(AHP)usespairedcomparisonstoderiveascaleofrelativeimportanceforalternatives,whendecisionmakersareuncertainabouttheirpreferences,theuncertaintyinmakingcomparisonsismeasuredbyassociatingwitheachjudgementanintervalofnumericalvalues.TheAHPhasbeenappliedtogroupdecisionproblems.Saaty[3]hasdiscussedseveralpracticalandtheoreticalaspectsofgroupdecision-makingusingAHP.ThereareserveralmethodsemployedinAHPforaggregatinggroupopinions,oneofwhichistheweightedgeo…     

基于群体AHP的仿真可信度评估方法研究

群体层次分析法（Group AHP）是由多个具有相关领域不同知识和经验的专家参与的群决策方法,提出了基于该方法的系统仿真可信度评估方法。首先验证各专家给出的判断矩阵的一致性,并确定判断矩阵每行的可信度,再计算各判断矩阵的可信度,给出判断矩阵中各要素的相对权重,最后得到仿真可信度的定量指标。应用结果表明,该方法能更好地集中了各专家的智慧,克服人为主观判断、偏好给决策带来的影响,因而更符合客观规律,为仿真可信度的定量评估提供了有效的技术途径。

Abstract：

Group AHP （Group Analytic Hierarchy Process） is a method of Group Decision executed by many experts who have different knowledge and experience. The method of simulation credibility evaluation based on Group AHP was proposed. In this method,the consistency of every judgment matrix built by experts was verified firstly. And every row＇s credibility of judgment matrix was given. Then reliability of every judgment matrix was calculated and the weight was constructed. Finally,quantitative credibility of simulation system was calculated. Group AHP collects intelligences of experts and reduces subjective effects and biases. The application result shows that the method is reasonable and feasible.     

一种AHP判断矩阵一致性调整的新方法

提出了一种AHP判断矩阵一致性调整的新方法。该方法首先通过求取判断矩阵的偏差矩阵 ,然后再根据偏差和最小的原理寻找出n - 1个最能体现原判断矩阵中专家信息的元素构成完全一致性矩阵。调整后的判断矩阵等于原判断矩阵和完全一致性矩阵的加权和。最后用算例来说明该方法的实施过程     

AHP中两类标度的关系研究

把众多的标度作了分类,研究了它们之间的关系,并给出了一种简单、实用的转化公式．最后进行了算例分析     

基于模糊优先关系矩阵的系统评价方法

为处理系统评价中各评价指标的一致无量纲化问题,避开模糊综合评价方法中建立隶属度函数的困难,探讨了用模糊优先关系矩阵A的优度值作为各评价指标的一致化和无量纲化值的新途径。为充分利用A的一致性信息和提高A的优度值计算结果的可信程度,提出了A的最优模糊一致性判断矩阵、一致性指标函数和一致性指标临界值。研制了用加速遗传算法检验、修正A的一致性,并同时计算A各评价对象优度值的新的系统评价方法(AGA-FPRM)。理论和实例分析的初步结果表明,AGA-FPRM方法直观、实用,矩阵修正幅度较小,计算结果稳定、精度高,可在模糊层次分析法理论与实践中推广应用。