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An axiomatic approach to noncompensatory sorting methods in MCDM, II: More than two categories

Bouyssou, Denis; Marchant, Thierry (2007), An axiomatic approach to noncompensatory sorting methods in MCDM, II: More than two categories, European Journal of Operational Research, 178, 1, p. 246-276. http://dx.doi.org/10.1016/j.ejor.2006.01.033

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Type
Article accepté pour publication ou publié
Date
2007
Journal name
European Journal of Operational Research
Volume
178
Number
1
Publisher
Elsevier
Pages
246-276
Publication identifier
http://dx.doi.org/10.1016/j.ejor.2006.01.033
Metadata
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Author(s)
Bouyssou, Denis cc
Marchant, Thierry
Abstract (EN)
A number of recent papers have investigated the foundations of methods allowing to sort multi-attributed alternatives between several ordered categories. This paper has a similar objective. Our analysis uses a general conjoint measurement framework, encompassing most sorting models used in MDCM, that was proposed in the literature. Within this framework, we provide an axiomatic analysis of what we call noncompensatory sorting models, with or without veto effects. These noncompensatory sorting models contain the pessimistic version of ELECTRE TRI as a particular case. Our analysis can be seen as an attempt to give a firm axiomatic basis to ELECTRE TRI, while emphasizing its specific feature, i.e., the rather poor information that this model uses on each attribute.
Subjects / Keywords
ELECTRE TRI; Conjoint Measurement; Noncompensatory sorting methods; Decision with Multiple Attributes

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