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摘要翻译：
Electre Tri是一套方法，旨在将根据几个标准评估的备选方案分类为有序的类别。在这些方法中，通过将备选方案与表示类别的边界或中心元素的参考配置文件进行比较，将备选方案分配给类别。最初的Electre Tri-B方法使用一个限制配置文件来将一个类别与下面的类别分开。最近的一种方法是Electre Tri-nB，它允许人们为同一目的使用几个限制配置文件。我们用联合测量框架研究了Electre三铌的性质。当用于定义每个类别的极限剖面数目不受限制时，Electre Tri-nB易于公理刻画，并与文献中提出的其他几种方法等价。我们将这一结果向多个方向推广。
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英文标题：
《A theoretical look at ELECTRE TRI-nB and related sorting models》
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作者：
Denis Bouyssou, Thierry Marchant, Marc Pirlot
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最新提交年份：
2021
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分类信息：
一级分类：Economics 经济学
二级分类：Theoretical Economics 理论经济学
分类描述：Includes theoretical contributions to Contract Theory, Decision Theory, Game Theory, General Equilibrium, Growth, Learning and Evolution, Macroeconomics, Market and Mechanism Design, and Social Choice.
包括对契约理论、决策理论、博弈论、一般均衡、增长、学习与进化、宏观经济学、市场与机制设计、社会选择的理论贡献。
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英文摘要：
Electre Tri is a set of methods designed to sort alternatives evaluated on several criteria into ordered categories. In these methods, alternatives are assigned to categories by comparing them with reference profiles that represent either the boundary or central elements of the category. The original Electre Tri-B method uses one limiting profile for separating a category from the category below. A more recent method, Electre Tri-nB, allows one to use several limiting profiles for the same purpose. We investigate the properties of Electre Tri-nB using a conjoint measurement framework. When the number of limiting profiles used to define each category is not restricted, Electre Tri-nB is easy to characterize axiomatically and is found to be equivalent to several other methods proposed in the literature. We extend this result in various directions.
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PDF链接：
https://arxiv.org/pdf/2008.09484
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