A guided tour of multiple criteria sorting models and methods

IF 4.4 3区管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Annals of Operations Research Pub Date : 2024-11-12 DOI:10.1007/s10479-024-06278-w

Khaled Belahcène, Vincent Mousseau, Wassila Ouerdane, Marc Pirlot, Olivier Sobrie

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Abstract

Multiple criteria sorting methods assign objects into ordered categories while objects are characterized by a vector of n attributes values. Categories are ordered, and the assignment of the object is monotonic w.r.t. to some underlying order on the attributes scales (criteria). Our goal is to offer a survey of the literature on multiple criteria sorting methods, since the origins, in the 1980’s, focusing on the underlying models. In the first part of the paper, we start by recalling two main models, one based on additive value functions (UTADIS) and the other one an outranking relation (Electre Tri). Then we draw a (structured) picture of multiple criteria sorting models and the methods designed for eliciting their parameters or learning them based on assignment examples. In a second part of the paper, we attempt to provide a theoretical view of the field and position some existing models within it. We then discuss issues related to imperfect or insufficient information.

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多标准排序模型和方法导览

多重标准排序法将对象分配到有序的类别中，而对象的特征是由 n 个属性值组成的向量。类别是有序的，对象的分配与属性标尺（标准）上的某些基本顺序是单调的。我们的目标是对 20 世纪 80 年代以来有关多重标准排序方法的文献进行梳理，重点关注基本模型。在本文的第一部分，我们首先回顾了两个主要模型，一个是基于加值函数的模型（UTADIS），另一个是基于排序关系的模型（Electre Tri）。然后，我们（有条理地）描绘了多重标准排序模型，以及根据赋值示例激发参数或学习参数的方法。在本文的第二部分，我们试图提供该领域的理论观点，并对其中的一些现有模型进行定位。然后，我们将讨论与信息不完善或不充分有关的问题。

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来源期刊

Annals of Operations Research 管理科学-运筹学与管理科学

CiteScore

7.90

自引率

16.70%

发文量

596

审稿时长

8.4 months

期刊介绍： The Annals of Operations Research publishes peer-reviewed original articles dealing with key aspects of operations research, including theory, practice, and computation. The journal publishes full-length research articles, short notes, expositions and surveys, reports on computational studies, and case studies that present new and innovative practical applications. In addition to regular issues, the journal publishes periodic special volumes that focus on defined fields of operations research, ranging from the highly theoretical to the algorithmic and the applied. These volumes have one or more Guest Editors who are responsible for collecting the papers and overseeing the refereeing process.