A simulation approach for handling uncertainty in the analytic hierarchy process

Uncertainty considerations are introduced into the analytic hierarchy process (AHP). The rank order of decision alternatives depends on two types of related uncertainties: (1) uncertainty regarding the future characteristics of the decision making environment described by a set of scenarios, and (2) uncertainty associated with the decision making judgment regarding each pairwise comparison. A simulation approach for handling both types of related uncertainties in the AHP is described. The example introduced by Saaty and Kearns (1985) is extended here to include uncertainty considerations.     

积因子求权重层次分析法在城市排序中的应用

克服传统层次分析法确定因素权重主观性太强的不足,结合积因子方法给出了积因子赋值求权重层次分析法,并利用该方法对黑龙江省各城市按可持续发展指标进行排序,得到符合实际的结果.     

The analytic hierarchy process with stochastic judgements

The analytic hierarchy process (AHP) is a widely-used method for multicriteria decision support based on the hierarchical decomposition of objectives, evaluation of preferences through pairwise comparisons, and a subsequent aggregation into global evaluations. The current paper integrates the AHP with stochastic multicriteria acceptability analysis (SMAA), an inverse-preference method, to allow the pairwise comparisons to be uncertain. A simulation experiment is used to assess how the consistency of judgements and the ability of the SMAA-AHP model to discern the best alternative deteriorates as uncertainty increases. Across a range of simulated problems results indicate that, according to conventional benchmarks, judgements are likely to remain consistent unless uncertainty is severe, but that the presence of uncertainty in almost any degree is sufficient to make the choice of best alternative unclear.     

A Decision support system integrating AHP and MDS to predict choice

A decision support system is proposed which uses the analytic hierarchy process along with integer programming to constrain the overall choice set. Two strategies for predicting choice are then presented. The first is a single step process which uses multi-dimensional scaling. The second strategy is an iterative process which uses both multi-dimensional scaling and the analytic hierarchy process. The latter strategy is discussed in detail and an illustrative example is provided.     

基于干部公选量化考评数学模型的研究

党政干部公选过程中许多考察指标的边界并不十分明显,评价时无从归类难以形成量化分析结果.运用模糊数学理论建立多目标评价模型,通过构建层次分析法,在对单指标进行评价的基础上,再对所有指标进行综合模糊评价,防止了统计信息的遗漏和中途损失,克服了"满意"、"基本满意"等确定性评价导致的对客观真实的偏离.     

Aggregation of analytic hierarchy process models based on similarities in decision makers’ preferences

The analytic hierarchy process is widely used in both individual and group decision making environments. In this paper we investigate its applicability to model a specific class of decentralized decision problems where many decision makers take individual subjective decisions using locally available information. In such subjective decision making environments, it is neither possible nor appropriate to use group preference aggregation techniques to model the problem as a single group decision problem. An approach to identify homogeneous subgroups of decision makers based on similarities in preferences and to aggregate preferences within each subgroup is proposed. This approach is validated using employment preferences of 70 subjects modeled using the analytic hierarchy process.     

Examining alternatives in the interval analytic hierarchy process using complete enumeration

The analytic hierarchy process as an aid to decision makers has gained in popularity over the years. Recently the procedure has been generalised into the interval analytic hierarchy process. Rather than select a precise ratio for the comparisons between the alternatives offered to the decision maker an interval is proposed. One popular strategy in examining this problem is to adopt a simulation technique. Here two simulation methods are considered and it is demonstrated that total enumeration is a viable alternative.     

DS/AHP method: A mathematical analysis,including an understanding of uncertainty

The analytic hierarchy process (AHP) was developed to aid decision makers to rank or sort information based on a number of criteria. A recent advance is the DS/AHP method which incorporates the Dempster–Shafer theory of evidence with AHP. This method allows judgements on groups of decision alternatives (DA) to be made, it also offers a measure of uncertainty in the final results. In this paper a mathematical analysis of DS/AHP is included, constructing the functional form of the preference weightings given to groups of DA. These functions allow an understanding of the appropriateness of the rating scale values used in the DS/AHP method, through evaluating the range of uncertainty able to be expressed by the decision maker.     

基于层次分析法的岗位工资确定方法研究

岗位工资是确定薪酬的核心部分,只有通过对岗位责任的大小和相对重要性进行判断,才能制定相应的岗位工资.但很多企业在岗位工资的定位上往往存在一定程度的不公平性.以JML公司为例,针对其岗位工资确定方法中存在的问题,引入层次分析法,并结合该公司的四个岗位详细介绍了运用层次分析法来确定岗位工资的步骤,说明了层次分析法在岗位工资确定中的应用及其可行性.提出了可操作的确定岗位工资的流程图,以解决以往岗位工资差距太小导致员工丧失积极性的问题.     

An MCDM model for media selection in the dual consumer/industrial market

An optimal advertising media selection is a strategic factor for the operations of both traditional and e-business environments. This paper presents a case study that considers two options: industrial and consumer products. In order to resolve the strategic decision-making about dual market high technology products, a mixed integer goal programming model is developed to facilitate the advertising media selection process.Preemptive priority ordering is established by the analytic hierarchy process. The problem is solved lexicographically using a software package, based on the data obtained from the e-business industry in Korea. The satisfying solution is identified and analyzed, and sensitivity analyses are performed for model flexibility.     

区域的外环境系统分析

本文分析了区域的外环境系统的影响因素,研究了各因素间相互作用的随机性,利用层次分析方法构造了外环境系统的评价模型,证明了动态排序原理,并给出动态排序权值的计算方法。     

基于改进层次分析法的模糊优选模型

给出一种逼近理想解的层次分析法,并将其应用于模糊优选模型,基于该方法给出了中国16个城市的综合实力评价实例,证实了模型的可靠性和实用性.     

Selecting a Doctoral Programme Using the Analytic Hierarchy Process — The Importance of Perspective

This paper discusses the application of the analytic hierarchy process (AHP) to the selection of a doctoral programme. The first section of this paper includes a brief discussion of the AHP. In the next section, we describe a hierarchy for selecting a doctoral programme that includes the perspective or career objective of the decision-maker as what we call a pseudo-level. This is followed by an illustration of the hierarchy in a case study with MBA students contemplating a doctoral programme. Finally, we discuss the results and highlight the importance of perspective as a discrete criterion that should not be included as another level of the hierarchy in the usual way.     

层次分析法在软件系统设计质量评价中的应用

本文提出了一个运用层次分析法对软件系统设计的质量进行评价的方法。该方法提高了对软件系统设计质量评价的有效性、科学性和可操作     

层次分析法在软件系统设计质量评价中的应用

本文提出了一个运用层次分析法对软件系统设计的质量进行评价的方法。该方法提高了对软件系统设计质量评价的有效性、科学性和可操作     

灰色层次分析法及其应用

本文根据层次分析法并借助灰色理论建立了灰色层次分析法，导出了灰矩阵最大特征值的一些性质，介绍了灰正互反阵的最大特征值与对应特征向量的两种数值解法．     

Scales and methods for deriving weights in the analytic hierarchy process

Scales and methods for deriving weights of objects being compared used in the analytic hierarchy process (AHP) are theoretically studied. Results are formulated as theorems, which can be applied by a decision maker to choose AHP parameters in solving practical problems.     

基于极大熵投影寻踪组合法的水资源预警评价模型

利用基于极大熵准则赋权和基于实数加速遗传算法的投影寻踪方法相结合的组合附权法确定了各预警指标的权重;采用层次分析法计算水资源可持续利用复合系统中各子系统所占权重;利用综合评价模型计算出哈尔滨市水资源可持续发展指数;最终得到哈尔滨市水资源可持续利用预警结果.     

层次分析法中基于SVDD群体信息提取方法

针对层次分析法中群决策问题提出一种基于支持向量域描述(SVDD)的集结方法.首先利用生成树的方法把判断矩阵进行一致性剖分;然后利用支持向量域描述的方法排除干扰信息,找出群体公共信息,引入群体相容性,最优解等概念,提出并证明了关于群体信息球的特性;根据最大特征值法把群体信息球中的向量合成为群决策最优解,即关于方案的排序向量.并通过一个具体示例给出该方法的算法步骤同时显示了该方法的可行性和有效性.     

AHP中判断矩阵排充的灵敏度分析

对AHP中判断矩阵排序的行知归一化方法进行了灵敏度分析,给出了在某个准则下,任意两个方案排序位置不变的情况下判断矩阵中各个元素变化范围的计算公式,所给出的公式直接简单,对于进一步分析判断矩阵权重的稳定性具有重要意义。