On importance indices in multicriteria decision making

Michel Grabisch, Christophe Labreuche () and Mustapha Ridaoui ()
Additional contact information
Christophe Labreuche: Thales Research & Technology - Palaiseau
Mustapha Ridaoui: Centre d'Economie de la Sorbonne - Paris School of Economics, https://centredeconomiesorbonne.univ-paris1.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

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 (search for similar items in EconPapers)
Pages: 30 pages
Date: 2018-03
New Economics Papers: this item is included in nep-gth and nep-knm
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ftp://mse.univ-paris1.fr/pub/mse/CES2018/18008.pdf (application/pdf)

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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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:18008

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