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A characterization of generalized concordance rules in multicriteria decision making
Author(s) -
Dubois Didier,
Fargier Helene,
Perny Patrice,
Prade Henri
Publication year - 2003
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.10114
Subject(s) - concordance , electre , axiom , simple (philosophy) , representation (politics) , mathematics , multiple criteria decision analysis , computer science , decision rule , ordinal scale , decision theory , mathematical economics , characterization (materials science) , artificial intelligence , mathematical optimization , statistics , epistemology , medicine , philosophy , geometry , politics , political science , law , materials science , nanotechnology
This article proposes a principled approach to multicriteria decision making (MCDM) where the worth of decisions along attributes is not supposed to be quantified, as in multiattribute utility theory, or even measured on a unique scale. This approach actually generalizes additive concordance rules a la Electre and is rigorously justified in an axiomatic way by representation theorems. We indeed show that the use of a generalized concordance (GC) rule is the only possible approach when in a purely ordinal framework and that the satisfaction of very simple principles forces the use of possibility theory as the unique way of expressing the importance of coalitions of criteria. © 2003 Wiley Periodicals, Inc.