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The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification

Guilherme Dean Pelegrina, Leonardo Tomazeli Duarte (), Michel Grabisch and João Marcos Travassos Romano
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Guilherme Dean Pelegrina: DSPCom - Laboratory of Signal Processing for Communications - UNICAMP - University of Campinas [Campinas], School of Electrical and Computer Engineering, University of Campinas, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique
Leonardo Tomazeli Duarte: School of Applied Sciences, University of Campinas
João Marcos Travassos Romano: UnB - University of Brasilia [Brazil]

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

Abstract: In several multicriteria decision making problems, it is important to consider interactions among criteria in order to satisfy the preference relations provided by the decision maker. This can be achieved by using aggregation functions based on fuzzy measures, such as the Choquet integral and the multilinear model. Although the Choquet integral has been studied in a large number of works, one does not find the same literature with respect to the multilinear model. In this context, the contribution of this work is twofold. We first provide a formulation of the multilinear model by means of a 2-additive capacity. A second contribution lies in the problem of capacity identification. We consider a supervised approach and apply optimization models with and without regularization terms. Results obtained in numerical experiments with both synthetic and real data attest the performance of the considered approaches.

Keywords: capacity identification; 2-additive capacity; multiple criteria analysis; multilinear model; multi-attribute utility theory (search for similar items in EconPapers)
Date: 2020
New Economics Papers: this item is included in nep-ore and nep-upt
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Published in European Journal of Operational Research, Elsevier, 2020, 282, pp.945-956. ⟨10.1016/j.ejor.2019.10.005⟩

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Journal Article: The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification (2020) Downloads
Working Paper: The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification (2020) Downloads
Working Paper: The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification (2020) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-02379646

DOI: 10.1016/j.ejor.2019.10.005

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