On importance indices in multicriteria decision making

Michel Grabisch, Christophe Labreuche () and Mustapha Ridaoui ()
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Christophe Labreuche: Thales Research and Technology [Palaiseau] - THALES [France]
Mustapha Ridaoui: UP1 - Université Paris 1 Panthéon-Sorbonne, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement

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Abstract: We address in this paper the problem of how to define an importance index in multicriteria decision problems, when a numerical representation of preference is given. We make no restrictive assumption on the model, which could have discrete or continuous attributes, and in particular, it is not assumed that the model is monotonically increasing or decreasing with respect to (w.r.t.) the attributes. Our analysis first considers discrete models, which are seen to be equivalent to multichoice games. We propose essentially two importance indices, namely the signed importance index and the absolute importance index, both based on the average variation of the value of the model induced by a given attribute. We provide several axiomatizations for these importance indices, extend them to the continuous case, and finally illustrate them with examples (classical simple models and a example of discomfort evaluation based on real data).

Keywords: Multiple criteria analysis; Multichoice game; Shapley value; Choquet integral; Décision multicritère; jeu multichoix; valeur de Shapley; intégral de Choquet (search for similar items in EconPapers)
Date: 2018-03
New Economics Papers: this item is included in nep-bec and nep-gth
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01815012v1
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Published in 2018

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Related works:
Journal Article: On importance indices in multicriteria decision making (2019)
Working Paper: On importance indices in multicriteria decision making (2019)
Working Paper: On importance indices in multicriteria decision making (2019)
Working Paper: On importance indices in multicriteria decision making (2019)
Working Paper: On importance indices in multicriteria decision making (2018)
Working Paper: On importance indices in multicriteria decision making (2018)
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