Khaled Belahcène, Vincent Mousseau, Wassila Ouerdane, Marc Pirlot, Olivier Sobrie
{"title":"A guided tour of multiple criteria sorting models and methods","authors":"Khaled Belahcène, Vincent Mousseau, Wassila Ouerdane, Marc Pirlot, Olivier Sobrie","doi":"10.1007/s10479-024-06278-w","DOIUrl":null,"url":null,"abstract":"<div><p>Multiple criteria sorting methods assign objects into ordered categories while objects are characterized by a vector of <i>n</i> 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 (<span>Electre Tri</span>). 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.\n</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"343 2021-2023)","pages":"785 - 845"},"PeriodicalIF":4.4000,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Operations Research","FirstCategoryId":"91","ListUrlMain":"https://link.springer.com/article/10.1007/s10479-024-06278-w","RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0
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.
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.
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