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.     

带有灰色关联-AHP约束锥的DEA模型

通过构建带有灰色关联-AHP约束锥,对DEA模型中指标的权重进行约束.可以在保持带有灰色关联约束锥的DEA模型不同指标重要性不同客观性的基础上,又能体现决策者对各指标的偏好程度.通过算例对比分析了该模型与传统DEA、带有灰色关联约束锥的DEA以及带有AHP约束锥的DEA模型的不同特点.     

基于ANP与模糊TOPSIS-CRITIC方法的不确定多属性决策模型

随着多属性决策问题的日益流行,处理决策问题的复杂程度也逐渐增加,针对其中权重不确定,难以量化各影响因素主观权重与客观权重以及指标排序不精确的问题,提出了一种将网络层次分析法(ANP)与模糊指标相关性的指标权重确定法(CRITIC)、逼近理想解排序法(TOPSIS)相结合的不确定多属性决策模型首先,在分别使用ANP方法和CRITIC法确定各影响因素的主观、客观权重的基础上计算指标的综合权重,然后应用模糊TOPSIS方法对备选方案进行贴进度排序最后,通过一个实例将计算结果同其他三种决策方法进行对比分析,验证了所提出的ANP与模糊TOPSIS-CRITIC方法的可靠性和有效性.     

基于DEA-ANP的快递企业绩效评价研究

在建立快递企业绩效评价模型时,提出了利用DEA和ANP相结合对快递企业绩效进行评价的方法.不同于之前研究,文中提出的方法使用ANP替换AHP,充分考虑了物流行业的"效益背反"现象.其解决了AHP确定权重时,无法体现元素之间关联性的问题,单独使用DEA评价时,无法考虑决策者偏好的弊端.首先,方法基于.ANP方法,求出每个指标的权重,再分别对每个因素使用DEA方法求出各系统的相对效率值;然后,将各指标权重和相对效率值结合,求出各快递企业中营业部的整体效率值并进行排序;最后通过实例分析,验证了此方法的实用性、可操作性及优越性.     

基于AHP-云模型的施工企业项目经理绩效评价北大核心

为客观、合理地进行施工企业项目经理绩效评价,提出了基于AHP-云模型的综合评价方法.采用层次分析法(AHP)确定指标权重,通过云模型实现定性表达与定量的互相转化,并运用相关计算逐级确定各级指标云,将最终评价云和云标尺对比分析得出项目经理绩效水平.通过实例验证了AHP-云模型在施工企业项目经理绩效评价中的可行性和有效性,为施工企业在此类评价中提供方法借鉴.     

基于AHP-云模型的施工企业项目经理绩效评价

为客观、合理地进行施工企业项目经理绩效评价,提出了基于AHP-云模型的综合评价方法.采用层次分析法(AHP)确定指标权重,通过云模型实现定性表达与定量的互相转化,并运用相关计算逐级确定各级指标云,将最终评价云和云标尺对比分析得出项目经理绩效水平.通过实例验证了AHP-云模型在施工企业项目经理绩效评价中的可行性和有效性,为施工企业在此类评价中提供方法借鉴.     

带有因子约束锥的DEA模型

传统DEA模型将输入输出指标对评价结果的影响等同看待,与实际情况不符.学者们不断尝试运用各种方法对DEA模型中指标的权重进行约束,以体现不同指标重要性的不同.但是,目前的相关研究大多采用主观评价方法,这样会破坏DEA的客观性,而采用因子分析确定的权重是客观的,所以在DEA模型中建立因子约束锥,对权重进行约束,可以在保持DEA客观性不变的基础上体现不同指标重要性的不同.     

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BSC&AHP的高校院系本科教学工作绩效评估模型的构建与应用

高等学校各院系办学绩效水平直接关系到高校人才培养的质量,本文针对目前高等院校对下属各院系本科教学考核评估指标权重确定方法中存在的问题,将平衡记分卡(BSC)和层次分析法(AHP)引入到本科教学工作绩效评估中,设计了一种用来确定高校对本科教学目标管理量化考核评估指标权重的决策方法既是一种理论创新,也是一种方法创新。解决了以往凭经验确定指标权重导致评估失衡的问题。     

基于层次分析法的家用车型选购方案研究

通过网络调研、与专家讨论的方式收集影响家用车型选购的评价指标并构建层次结构模型,总计确定了17个评价指标并进一步分成7大类,构建了由目标层、准则层、子准则层、方案层构成的层次结构模型.利用层次分析法(analytic hierarchy process,AHP)求出评价指标的权重并确定最优购车方案.研究不仅为消费者提供了更直观的车型对比方法及结果,也为汽车厂商提供了车型配置的理论指导.     

An analytic network process approach to operationalization of five forces model

The five forces model has been one of the most influential frameworks for strategic management. In contrast to its importance as a centerpiece of textbooks, however, it has attracted less attention from both academic researchers and practicing managers. This is due to its innate weakness, difficulty in operationalization. The vital requisites for operationalizing the five forces model are to deal with it as a complex system composed of interrelated forces and their sub-forces, and to prioritize them with consideration of their interdependency. The tenet of this study is the requisites can be achieved through the analytic network process (ANP). The ANP, which is a generalization of the analytic hierarchy process (AHP), produces priorities of elements in a complex network model with consideration of interdependency among elements. The five forces model is transformed into a network model of the ANP. The ANP procedure is then carried out to obtain the priority weights of the forces. Combining the derived weights and ratings on the forces produces the state-of-industry-competition index (SICI) values that represent the overall competitive condition of a given industry. The working of the proposed approach is provided with the help of a case study example of the Web portal Industry of Korea. The proposed ANP approach is expected to expand the five forces model into a workable system of analysis by improving its analytical power.     

引入特征AHP的PDEA评价模型研究

提出了基于特征AHP的带偏好DEA评价模型,该模型充分利用了带偏好约束锥的DEA方法能反映决策者对各准则的偏好程度,具备研究多个同类样本的"相对优劣性"评价的优势,并可有效地避免了由于引入偏好带来的主观性.最后,通过模型仿真、分析,验证了提出的评价模型的优点.     

An ANP- and AHP-based approach for weighting criteria in public works bidding

When the bidding conditions for a new public works contract are officiallypublished, the contracting authority should count with objective criteria andweights to evaluate tenders. The evaluation criteria and weights are obtainedfrom official contract documents. In this paper a new approach for the selectionand measurement of the bidding criteria based on Analytic Hierarchy Processes(AHP) and Analytic Network Processes (ANP) is proposed. A hierarchy model and a21-criterion network model have been developed and applied to two real cases:the first one is devoted to study the public bidding for the construction of aneducational centre at the Polytechnic University of Valencia, whereas the secondone analyses the public bidding for the remodelling and improvement of onesection of a national road.     

ANP法在区域企业技术创新能力评价中的应用

在应用网络层次分析法(ANP)进行综合评价中存在两个问题:一是网络层次结构中子系统内部的依存关系往往缺乏实质性的阐述和研究,而这是网络层次结构的关键;二是没有通过实例比较网络层次法和层次分析法,证明网络层次分析法的实用价值.以区域企业技术创新能力的评价为背景,分别应用网络层次分析法(ANP)和层次分析法(AHP)建立评价指标体系,并利用各省数据评价了区域企业技术创新能力的现状,给出了政策建议,以期为制定区域企业技术创新战略、规划等提供了定量参考依据.     

An intelligent decomposition of pairwise comparison matrices for large-scale decisions

A Pairwise Comparison Matrix (PCM) has been used to compute for relative priorities of elements and are integral components in widely applied decision making tools: the Analytic Hierarchy Process (AHP) and its generalized form, the Analytic Network Process (ANP). However, PCMs suffer from several issues limiting their applications to large-scale decision problems. These limitations can be attributed to the curse of dimensionality, that is, a large number of pairwise comparisons need to be elicited from a decision maker. This issue results to inconsistent preferences due to the limited cognitive powers of decision makers. To address these limitations, this research proposes a PCM decomposition methodology that reduces the elicited pairwise comparisons. A binary integer program is proposed to intelligently decompose a PCM into several smaller subsets using interdependence scores among elements. Since the subsets are disjoint, the most independent pivot element is identified to connect all subsets to derive the global weights of the elements from the original PCM. As a result, the number of pairwise comparison is reduced and consistency is of the comparisons is improved. The proposed decomposition methodology is applied to both AHP and ANP to demonstrate its advantages.     

A simple method to improve the consistency ratio of the pair-wise comparison matrix in ANP

Tests of consistency for the pair-wise comparison matrices have been studied extensively since AHP was introduced by Saaty in 1970s. However, existing methods are either too complicated to be applied in the revising process of the inconsistent comparison matrix or are difficult to preserve most of the original comparison information due to the use of a new pair-wise comparison matrix. Those methods might work for AHP but not for ANP as the comparison matrix of ANP needs to be strictly consistent. To improve the consistency ratio, this paper proposes a simple method, which combines the theorem of matrix multiplication, vectors dot product, and the definition of consistent pair-wise comparison matrix, to identify the inconsistent elements. The correctness of the proposed method is proved mathematically. The experimental studies have also shown that the proposed method is accurate and efficient in decision maker’s revising process to satisfy the consistency requirements of AHP/ANP.     

Fuzzy analytic hierarchy process: Fallacy of the popular methods

The fuzzy Analytic Hierarchy Process (fuzzy AHP) is a very popular decision making method and literally thousands of papers have been published about it. However, we find the basic logic of this approach has problems. From its methodology, the definition and operational rules of fuzzy numbers not only oppose the main logic of fuzzy set theory, but also oppose the basic principles of the AHP. In dealing with the outcomes, fuzzy AHP does not give a generally accepted method to rank fuzzy numbers and a way to check the validity of the results. Besides, we discuss the validity of the Analytic Hierarchy/Network Process (AHP/ANP) in complex and uncertain environments and find that fuzzy ANP is a false proposition because there is no fuzzy priority in the super matrix which provides the basis for the ANP. Although fuzzy AHP has been applied in many cases and cited hundreds of times, we hoped that those who use fuzzy AHP would understand the problems associated with this method.     

城市可持续发展综合评价的一种方法

用层次分析法设计城市可持续发展评价模型.采用熵技术支持下的层次分析法确定系统指标权重,用加权平均法对可持续发展状态进行综合评价.并对鞍山市进行实例分析,指出鞍山市可持续发展能力总体呈上升趋势,但表现一定的波动性,与鞍山市的发展现状相符.     

A mathematical programming model for the fuzzy analytic network process—applications of international investment

Currently, the analytic network process (ANP) method is widely employed to consider the multiple criteria analysis problems with dependence and feedback effects. However, in order to extend the ANP to resolve the problem of uncertainty or human subjective judgment, the concepts of fuzzy numbers should be incorporated into the ANP to represent the subjective uncertain pairwise judgments. In this paper, therefore, we propose a novel fuzzy analytic network process (FANP) model by solving a mathematical programming problem. Unlike other FANPs, the proposed method does not require the reciprocity assumption of the weight ratios between criteria, and it can derive local and global weights simultaneously in a single model. Two numerical examples of international investment problems are used to demonstrate the proposed method.