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Decision-Making with sugeno integrals - bridging the gap between multicriteria evaluation and decision under uncertainty

Couceiro, Miguel and Dubois, Didier and Prade, Henri and Waldhauser, Tamas Decision-Making with sugeno integrals - bridging the gap between multicriteria evaluation and decision under uncertainty. (2016) Order, 33 (3). 517-535. ISSN 0167-8094

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Official URL: https://doi.org/10.1007/s11083-015-9382-8

Abstract

This paper clarifies the connection between multiple criteria decision-making and decision under uncertainty in a qualitative setting relying on a finite value scale. While their mathematical formulations are very similar, the underlying assumptions differ and the latter problem turns out to be a special case of the former. Sugeno integrals are very general aggregation operations that can represent preference relations between uncertain acts or between multifactorial alternatives where attributes share the same totally ordered domain. This paper proposes a generalized form of the Sugeno integral that can cope with attributes having distinct domains via the use of qualitative utility functions. It is shown that in the case of decision under uncertainty, this model corresponds to state-dependent preferences on consequences of acts. Axiomatizations of the corresponding preference functionals are proposed in the cases where uncertainty is represented by possibility measures, by necessity measures, and by general order-preserving set-functions, respectively. This is achieved by weakening previously proposed axiom systems for Sugeno integrals.

Item Type:Article
Additional Information:Thanks to Springer editor. The original PDF can be found at Order (ISSN : 0167-8094) website : https://link.springer.com/article/10.1007/s11083-015-9382-8
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > University of Szeged (HUNGARY)
Other partners > Université de Lorraine (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:16 Mar 2018 15:26

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