区间AHP权重计算的目标规划法

本文对区间 AHP的权重计算问题进行了研究 ,给出了几种新的权重计算方法 .每种方法求解一个线性目标规划问题得到各方案的区间权重 .文章最后给出了一个算例 .     

一种加性AHP法的构造及应用

首先分析了 Satty的传统 AHP法的缺陷 ,然后给出了加性 AHP法的构造原理及权值求法 ,并以一实例说明加性 AHP法在多指标决策分析中的应用 .最后指出加性 AHP法是一种较之传统 AHP法更方便可行的方法 .     

一类方案逆选问题及其改进

针对AHP和线性整数（0～1）规划结合应用时产生的一类方案逆选问题。分析了问题产生的原因，提出了基于AHP区间估计和参数规划的改进模型。与原有模型相比，改进模型提供给决策者更多的信息，从而尽可能地减少偏差和错误。最后，通过一个算例验证了模型有效性。     

带有熵权-AHP约束锥的DEA模型

在DEA模型中当考虑较多的投入和产出指标时,容易产生决策单元的过度有效性,影响模型的分析效能.因此有相关研究将AHP约束锥引入DEA模型中,不仅有效地限制了DEA模型指标权重的选择自由性,也能更好地将决策者的主观偏好反映在模型中.但引入AHP约束锥产生的主观性会影响到DEA效率评估的客观性.引入熵权法概念,借鉴其客观赋权的思想,将其与AHP约束锥相结合,不仅保留了带有.AHP约束锥的DEA模型的优点,也中和了AHP约束锥的主观性,保证了DEA模型的相对客观性.     

正交试验层次分析法

提出了一种正交试验数据分析的新方法——正交试验层次分析法(AnalyticHierarchyProcess,简称AHP).应用层次分析(AHP)对不考虑交互作用的正交试验进行统计分析,得出各因素各水平对试验结果的影响权重,从而确定因素的主次顺序及最佳条件.实验结果表明,应用AHP对正交试验进行分析得到的结论与传统的直观分析法一致.     

基于层次分析法的毕业论文(设计)综合评价方法

毕业论文是高校实施教学计划的重要环节.针对目前很多高校毕业论文评价方法中存在的一些问题,结合论文评价过程的相关特点,在层次分析法(AHP)的基础上提出了群组AHP模型和模糊AHP模型两种决策优化模型,给出了基于这两种模型的高校学生毕业论文综合评价方法.实践表明,在对学生论文进行评价的过程中,方法具有合理、公正、简便、灵活、易于推广的特点,开发的基于该方法的毕业论文评价系统具有很强的应用价值.     

AHP的扩展及应用

本文介绍了模糊AHP、多目标AHP及灰色群体AHP的基本原理与算法步骤,并给出了其有关的应用实例。     

基于云化双重AHP模型的地铁施工方案选择研究

根据专家对于方案评判指标重要性的自然思维对比过程和形成数据的特点,提出了云化双重AHP模型对备选方案进行选优,并应用于地铁施工方案选择.专家的自然思维对比过程分两次进行.第一次是赖于工程背景,不同施工方案之间相同评判指标的比较;第二次是不考虑实际工程背景下的各指标比较.使用云模型嵌入AHP是为了对专家提供的不确定信息进行处理.基于上述两点考虑构建了云化双重AHP模型.分析了4种隧道施工方案,得到了方案选优指标.分析结果表明:对于给定的工程背景,使用盾构法施工是最优的.最后将该模型与现有4种模型进行对比,说明了模型的相对优点.     

基于专家动态权重的群组AHP交互式决策方法

为了能在群组决策中得到更为客观和准确的决策结果,在把专家权重划分为静态权重和动态权重的基础上,研究了在交互式决策中专家动态权重的确定方法,给出了共识度的一个定义.在此基础上,研究了群组AHP交互式决策方法中的一致性和相容性检验,给出了基于专家动态权重的群组AHP交互式决策方法流程,最后用一个示例说明了该方法的应用步骤.     

浅析模糊AHP中一致性检验的不必要性

模糊AHP用模糊互补矩阵替代AHP的比例标度判断矩阵的意义是,因标度的可加性使基于判断矩阵中数据的排序可行;但是定义模糊一致性矩阵对判断矩阵进行一致性检验是不必要的,调整含逆序的判断矩阵是不合理的.阐述模糊AHP一致性检验的不必要性;论证对含逆序判断矩阵进行调整的不合理性;建立基于评分标度判断矩阵中数据的排序方法,并且排序与判断矩阵具有怎样的一致性程度无关.     

On the efficacy of modeling multi-attribute decision problems using AHP and Sinarchy

AHP is a multi-attribute decision-making methodology widely used by both practitioners and researchers. In the 1980s, critics had raised questions regarding its proper use. There were quite a few suggested modifications to overcome the supposed limitations of AHP. These modifications are themselves limited as they typically impede the applicability of AHP. In this paper, we revisit some of the earlier criticisms. We have two objectives (1) to articulate the proper use of AHP by highlighting the assumptions and implications underlying AHP, and (2) to show that Sinarchy can be used to address the earlier criticisms while maintaining the applicability of the AHP framework. We identify that in AHP, tradeoffs between criteria vary amongst individual alternatives and are dependent on the alternative’s proportion of contribution towards each criterion. For problems where tradeoffs between criteria are in terms of their relative measurements, Sinarchy should be used. It is also shown that Sinarchy can prevent rank reversal. Illustrative examples are included throughout.     

基于正交试验法和AHP的PNN焊接螺母质量评估

为满足人工神经网络对样本数据的要求,通过正交试验法采集样本数据,利用层次分析法确定影响产品质量各因素的权重,以得到的权重值处理样本数据,以此训练概率神经网络.结果表明,概率神经网络的模式识别能力得到显著提高.     

AHP的检验方法及其比较分析

介绍了目前较有影响的三种ＡＨＰ一致性检验算法,并对其作了比较分析,最后提出了一种检验算法的选择准则     

基于DS/AHP的供应商选择方法

供应商选择方法有很多种，在众多的方法中层次分析法以能够将定性指标定量化而被广泛应用于供应商选择决策中。考虑到供应商选择问题中包含有很多的不确定性而证据理论在处理不确定问题又有着独特的优点，因此本文采用了一种由层次分析法和证据理论结合而产生的DS／AHP决策方法，并将其应用于供应商选择决策问题中，该方法综合了层次分析法和证据理论的优点，可以更科学的进行供应商选择决策，最后通过一个例子说明这种方法在供应商选择中的应用。     

层次分析法权重计算方法分析及其应用研究

介绍层次分析法的基本概念,同时也分析了层次分析法权重的计算方法及应用,层次分析法的计算方法有四种方法:几何平均法、算术平均法、特征向量法、最小二乘法,以往的文献利用层次分析法解决实际问题时,都是采用其中的某一种方法求权重向量,不同的方法会导致结果有些偏差,将对一具体实例,采用四种计算方法分别得出权重向量再进行排序和综合分析,这样可以避免采用单一方法所产生的偏差,得出的结论将更全面、更有效。     

Does AHP help us make a choice? An experimental evaluation

In this paper, we use experimental economics methods to test how well Analytic Hierarchy Process (AHP) fares as a choice support system in a real decision problem. AHP provides a ranking that we statistically compare with three additional rankings given by the subjects in the experiment: one at the beginning, one after providing AHP with the necessary pair-wise comparisons and one after learning the ranking provided by AHP. While the rankings vary widely across subjects, we observe that for each individual all four rankings are similar. Hence, subjects are consistent and AHP is, for the most part, able to replicate their rankings. Furthermore, while the rankings are similar, we do find that the AHP ranking helps the decision makers reformulate their choices by taking into account suggestions made by AHP.     

Group decision making in a multiple criteria environment: A case using the AHP in software selection

This paper reports the results of a case study where the analytic hierarchy process (AHP) technique was employed to support the selection of a multi-media authorizing system (MAS) in a group decision environment. Three MAS products were identified and ultimately ranked using the AHP. Six software engineers, who are technically competent and experienced, participated in our study. These engineers were trained to use the AHP and asked to apply this technique to select the most appropriate MAS product for adoption. A post-study survey and interview were conducted with all the engineers to collect further feedback on the use of the AHP, as compared to their frequently used Delphi technique, in supporting group decisions. The experiment results and survey findings indicated that the AHP is preferable to Delphi as the AHP helps group members center a discussion around objectives, rather than alternatives. We also found the AHP to be more conducive to consensus building in group decision settings.     

模糊层次分析法及其在优化建材连锁配送方案中的应用

本文首先说明模糊ＡＨＰ方法是在传统的ＡＨＰ方法的基础上，考虑到人们对复杂事物判断的模糊性，提出程度分析和综合决策理论，并介绍了模糊ＡＨＰ方法的主要理论及步骤。最后把它用于建材连锁配送系统模式的评价，可将专家对诸方案指标体系所进行的带有模糊性判断，通过定量计算，转化为对连锁配送系统模式的排序，从而达到选优的目的。     

Comparing non-structural fuzzy decision support system and analytical hierarchy process in decision-making for construction problems

Analytical Hierarchy Process (AHP) is a commonly used decision-aiding tool for resolving multi-criteria decision problems. However, users sometimes find it difficult to ensure a consistent pairwise comparison between voluminous decisions. The cause of which is that the Consistency Ratio (CR) is produced after the evaluation process and its global acceptance criteria is limited. When the derived ratio reports some inconsistency, it requires a long process to locate and rectify the problem. The major aim of this study is to look for an alternative decision-aiding tool to AHP, helping to avoid the above problem. The alternative approach proposed in this study is the Non-Structural Fuzzy Decision Support System (NSFDSS). The application of the system is illustrated with a worked example. The results generated by NSFDSS are compared against those generated by the conventional AHP that shows the effectiveness and some unique advantages of the proposed tool over AHP.