论文标题
理论上对Electre Tri-NB和相关排序模型
A theoretical look at ELECTRE TRI-nB and related sorting models
论文作者
论文摘要
Electre Tri是一组旨在对有序类别进行评估的替代方案进行分类的方法。在这些方法中，替代方案通过将它们与代表类别边界或中心元素的参考配置文件进行比较来分配给类别。原始的Electre Tri-B方法使用一个限制配置文件将类别与以下类别分开。一种最新的方法Electre Tri-NB允许人们将多个限制配置文件用于相同的目的。我们使用联合测量框架研究了Electre Tri-NB的性质。当不限制用于定义每个类别的限制轮廓的数量时，Electre Tri-NB易于公理表征，并且发现与文献中提出的其他几种方法相同。我们将此结果扩展到各个方向。
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.
