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

DOI

10.2991/eusflat.2011.29How to use a DOI?

Keywords

MCDA; Choquet integral; 2-additive capacity; MOPI Property

Abstract

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Brice Mayag
AU  - Michel Grabisch
AU  - Christophe Labreuche
PY  - 2011/08
DA  - 2011/08
TI  - Dealing with inconsistencies in the representation of ordinal information by a 2-additive Choquet integral
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 119
EP  - 126
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.29
DO  - 10.2991/eusflat.2011.29
ID  - Mayag2011/08
ER  -