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A Reduction of the Complexity of Inconsistencies Test in the MACBETH 2-Additive Methodology

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Date
2011
Collection title
Lecture Notes in Computer Science
Collection Id
6992
Dewey
Recherche opérationnelle
Sujet
MOPI conditions; Preference modeling; MCDA; MACBETH; Choquet integral
DOI
http://dx.doi.org/10.1007/978-3-642-24873-3_14
Conference name
ADT 2011
Conference date
10-2011
Conference city
Piscataway
Conference country
États-Unis
Book title
Algorithmic Decision Theory. Second International Conference, ADT 2011, Piscataway, NJ, USA, October 26-28, 2011. Proceedings
Author
Tsoukiàs, Alexis; Roberts, Fred S.; Brafman, Ronen I.
Publisher
Springer
Publisher city
Berlin
Year
2011
ISBN
978-3-642-24872-6
Book URL
http://dx.doi.org/10.1007/978-3-642-24873-3
URI
https://basepub.dauphine.fr/handle/123456789/8552
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  • LAMSADE : Publications
Metadata
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Author
Labreuche, Christophe
Grabisch, Michel
Mayag, Brice
Type
Communication / Conférence
Item number of pages
178-189
Abstract (EN)
MACBETH 2-additive is the generalization of the Choquet integral to the MACBETH approach, a MultiCriteria Decision Aid method. In the elicitation of a 2-additive capacity step, the inconsistencies of the preferential information, given by the Decision Maker on the set of binary alternatives, is tested by using the MOPI conditions. Since a 2-additive capacity is related to all binary alternatives, this inconsistencies checking can be more complex if the set of alternatives is very large. In this paper, we show that it is possible to limited the test of MOPI conditions to the only alternatives used in the preferential information.

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