摘要翻译：
本文提出了一种在判断矩阵不一致的情况下，用层次分析法(AHP)对决策者的知识进行定量估计的方法。我们证明了偏离传递性条件的矩阵对应于金融市场交易费用的比率矩阵。对于决策者专业性的定量评价，我们采用了Ising模型和热力学工具。
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英文标题：
《Inconsistency of the judgment matrix in the AHP method and the decision
  maker's knowledge》
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作者：
Anna Szczypinska, Edward W. Piotrowski
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最新提交年份：
2008
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分类信息：

一级分类：Quantitative Finance        数量金融学
二级分类：Statistical Finance        统计金融
分类描述：Statistical, econometric and econophysics analyses with applications to financial markets and economic data
统计、计量经济学和经济物理学分析及其在金融市场和经济数据中的应用
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一级分类：Physics        物理学
二级分类：Data Analysis, Statistics and Probability        数据分析、统计与概率
分类描述：Methods, software and hardware for physics data analysis: data processing and storage; measurement methodology; statistical and mathematical aspects such as parametrization and uncertainties.
物理数据分析的方法、软硬件：数据处理与存储；测量方法；统计和数学方面，如参数化和不确定性。
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英文摘要：
  In this paper we propose a method for a quantitative estimation of the decision maker's knowledge in the context of the Analytic Hierarchy Process (AHP) in cases, where the judgment matrix is inconsistent. We show that the matrix of deviation from the transitivity condition corresponds to the rate matrix for transaction costs in the financial market. For the quantitative estimation of the decision maker's professionalism, we apply the Ising model and thermodynamics tools.
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PDF链接：
https://arxiv.org/pdf/0806.4876