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Pairwise comparison based interval analysis for group decision aiding with multiple criteria

机译：基于成对比较的区间分析，用于具有多个条件的群体决策

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Interval AHP (Analytic Hierarchy Process) was proposed to obtain interval weights from a given pairwise comparison matrix showing relative importance between criteria. In this paper, Interval AHP is applied to group decision problems. Interval AHP is first revised suitably for comparing alternatives from the viewpoint that the interval weight vector shows the set of agreeable weight vectors for the decision maker. Under individual interval weight vectors obtained from individual pairwise comparison matrices, three approaches to obtaining a consensus interval weight vector are proposed. One is the perfect incorporation approach that obtains consensus interval weight vectors including all individual interval weight vectors. By this approach, we can count out indubitably inferior alternatives. The second is the common ground approach that obtains consensus interval weight vectors included in all individual interval weight vectors. By this approach we can find agreeable group preference between alternatives when all individual opinions are similar. The third is the partial incorporation approach that obtains consensus interval weight vectors intersecting all individual interval weight vectors. By this approach we can find agreeable group preference between alternatives when individual opinions are not similar. The usefulness of the proposed three approaches is demonstrated by simple numerical examples. (C) 2015 Elsevier B.V. All rights reserved.
机译：提出了区间层次分析法（AHP）以从给定的成对比较矩阵中获得区间权重，该矩阵显示了标准之间的相对重要性。本文将区间层次分析法应用于群体决策问题。从间隔权重矢量显示决策者可以接受的权重矢量集的角度出发，首先对间隔AHP进行适当修改，以比较备选方案。在从各个成对比较矩阵获得的各个区间权重向量的基础上，提出了三种获取共识区间权重向量的方法。一种是完美的合并方法，该方法可以获得包括所有单独的区间权重向量的共识区间权重向量。通过这种方法，我们可以算出毫无疑问的次等选择。第二种是通用基础方法，该方法可获取所有单独的区间权重向量中包含的共识区间权重向量。通过这种方法，我们可以在所有个人意见都相似时在备选方案之间找到一致的群体偏好。第三种是部分合并方法，该方法获得与所有单独的区间权重向量相交的共识区间权重向量。通过这种方法，我们可以在个人意见不相似时在备选方案之间找到一致的群体偏好。通过简单的数值示例证明了所提出的三种方法的有用性。 （C）2015 Elsevier B.V.保留所有权利。

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