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Interaction indices for multichoice games

Mustapha Ridaoui (), Michel Grabisch and Christophe Labreuche ()
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Mustapha Ridaoui: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique
Christophe Labreuche: Thales Research and Technology [Palaiseau] - THALES

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: Models in Multicriteria Decision Analysis (MCDA) can be analyzed by means of an importance index and an interaction index for every group of criteria. We consider first discrete models in MCDA, without further restriction, which amounts to considering multichoice games, that is, cooperative games with several levels of participation. We propose and axiomatize two interaction indices for multichoice games: the signed interaction index and the absolute interaction index. In a second part, we consider the continuous case, supposing that the continuous model is obtained from a discrete one by means of the Choquet integral. We show that, as in the case of classical games, the interaction index defined for continuous aggre-gation functions coincides with the (signed) interaction index, up to a normalizing coefficient.

Keywords: multichoice game; Choquet inte- gral; interaction; multicriteria decision analysis (search for similar items in EconPapers)
Date: 2020
New Economics Papers: this item is included in nep-cdm, nep-dcm and nep-gth
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-02380901
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Published in Fuzzy Sets and Systems, Elsevier, 2020, 383, ⟨10.1016/j.fss.2019.04.008⟩

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Working Paper: Interaction indices for multichoice games (2020) Downloads
Working Paper: Interaction indices for multichoice games (2020) Downloads
Working Paper: Interaction indices for multichoice games (2019) Downloads
Working Paper: Interaction indices for multichoice games (2019) Downloads
Working Paper: Interaction indices for multichoice games (2019) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-02380901

DOI: 10.1016/j.fss.2019.04.008

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