An axiomatic approach to noncompensatory sorting methods in MCDM II: More than two categories (janvier 2005, révisé octobre 2005)

Denis Bouyssou (1) , Thierry Marchant (2)

1 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision
2 Department of Data Analysis

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.

Mots clés: Decision with multiple attributes; Sorting models; Noncompensation; Conjoint measurement; ELECTRE TRI.; ELECTRE TRI

Denis Bouyssou, Thierry Marchant. An axiomatic approach to noncompensatory sorting methods in MCDM II: More than two categories (janvier 2005, révisé octobre 2005). 2005. ⟨hal-00013762⟩