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Sugeno Integrals and the Commutation Problem.

Dubois, Didier and Fargier, Hélène and Rico, Agnés Sugeno Integrals and the Commutation Problem. (2018) In: 15th International Conference on Modeling Decisions for Artificial Intelligence (MDAI 2018), 15 October 2018 - 18 October 2018 (Palma de Mallorca, Spain).

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Official URL: https://doi.org/10.1007/978-3-030-00202-2_5

Abstract

In decision problems involving two dimensions (like several agents and several criteria) the properties of expected utility ensure that the result of a multicriteria multiperson evaluation does not depend on the order with which the aggregations of local evaluations are performed (agents first, criteria next, or the converse). We say that the aggregations on each dimension commute. Ben Amor, Essghaier and Fargier have shown that this property holds when using pessimistic possibilistic integrals on each dimension, or optimistic ones, while it fails when using a pessimistic possibilistic integral on one dimension and an optimistic one on the other. This paper studies and completely solves this problem when Sugeno integrals are used in place of possibilistic integrals, indicating that there are capacities other than possibility and necessity measures that ensure commutation of Sugeno integrals.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 11144 of Lecture Notes in Computer Science ISSN : 0302-9743 ISBN : 978-3-030-00201-5 The original PDF is available at: https://link.springer.com/chapter/10.1007/978-3-030-00202-2_5
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (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 > Université Claude Bernard-Lyon I - UCBL (FRANCE)
Other partners > Université Lumière-Lyon 2 (FRANCE)
Laboratory name:
Funders:
European commission - Ministère de l'Enseignement Supérieur et de la recherche (FRANCE) - CIMI : Centre International de Mathématiques et d'Informatique (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:21 May 2019 14:40

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