多标准决策的锥形排序

arXiv - MATH - Statistics Theory Pub Date : 2023-12-04 DOI:arxiv-2312.03006

Andreas H Hamel, Daniel Kostner

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引用次数: 0

摘要

最近从统计学中引入的锥分布函数被转化为多标准决策（MCDM）工具。研究表明，这一过程可被视为加权和标量化的升级版，因为它一次性吸收了整个加权和标量化集合，而不是事先固定一个特定的标量化。此外，我们还描述了发生不同类型排序逆转的情况，并解释了为什么这对分析排序程序可能有用。我们还将讨论几个例子，并概述其在机器学习中的潜在应用。

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Cone Ranking for Multi-Criteria Decision Making

Recently introduced cone distribution functions from statistics are turned into multi-criteria decision making (MCDM) tools. It is demonstrated that this procedure can be considered as an upgrade of the weighted sum scalarization insofar as it absorbs a whole collection of weighted sum scalarizations at once instead of fixing a particular one in advance. Moreover, situations are characterized in which different types of rank reversal occur, and it is explained why this might even be useful for analyzing the ranking procedure. A few examples will be discussed and a potential application in machine learning is outlined.

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arXiv - MATH - Statistics Theory

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