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Dealing with inconsistencies in the representation of ordinal information by a 2-additive Choquet integral

Labreuche, Christophe; Grabisch, Michel; Mayag, Brice (2011), Dealing with inconsistencies in the representation of ordinal information by a 2-additive Choquet integral, EUSFLAT/LFA 2011, 2011-07, Aix-les-bains, France

Type
Communication / Conférence
Date
2011
Conference title
EUSFLAT/LFA 2011
Conference date
2011-07
Conference city
Aix-les-bains
Conference country
France
Journal name
Advances in intelligent systems research
Volume
1
Number
1
Publisher
Atlantis Press
Pages
119-126
Publication identifier
Metadata
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Author(s)
Labreuche, Christophe
Grabisch, Michel cc
Mayag, Brice
Abstract (EN)
We propose an algorithm to solve inconsistencies when the preferences of a decision-maker, given by a strict and an indifference relations on a set of binary actions, are not representable by a 2-additive Choquet integral. According to the characterization of this type of information, these inconsistencies arise from the violation of the MOPI property or occur in the presence of a strict cycle in his preferences.
Subjects / Keywords
MOPI Property; 2-additive capacity; Choquet integral; MCDA