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Elicitation of 2-additive bi-capacity parameters

Rolland, Antoine; Ah-Pine, Julien; Mayag, Brice (2015), Elicitation of 2-additive bi-capacity parameters, EURO Journal on Decision Processes, 3, 1, p. 5-28. 10.1007/s40070-015-0043-3

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-01201747
Date
2015
Journal name
EURO Journal on Decision Processes
Volume
3
Number
1
Publisher
Springer Berlin Heidelberg
Pages
5-28
Publication identifier
10.1007/s40070-015-0043-3
Metadata
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Author(s)
Rolland, Antoine cc
Entrepôts, Représentation et Ingénierie des Connaissances [ERIC]
Ah-Pine, Julien cc
Entrepôts, Représentation et Ingénierie des Connaissances [ERIC]
Mayag, Brice
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
In some multi-criteria decision-making problems, it is more convenient to express the decision maker (DM) preferences in bipolar scales. In such cases, the bipolar Choquet integral with respect to bi-capacities was introduced as a versatile tool to model these kind of preferences. However, this aggregation function is useful in practice only if its parameters can be set up easily. To this end, elicitation techniques aim at finding the parameters values that best fit some given examples. In this paper, we address the problem of eliciting a bipolar Choquet integral with respect to a 2-additive bi-capacity. We present several techniques based on solving an optimization problem, taking into account the possible interaction, or not, with the DM. We deal with possible inconsistencies in the observed preferences and we also discuss the parsimonious character of the different models to favor simple models when several solutions exist.
Subjects / Keywords
2-Additive bi-capacity identification; Bipolar Choquet integral; Preference elicitation

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