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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

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

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Autor(es):
Pelegrina, Guilherme Dean [1, 2] ; Duarte, Leonardo Tomazeli [3] ; Grabisch, Michel [2, 4] ; Travassos Romano, Joao Marcos [1]
Número total de Autores: 4
Afiliação do(s) autor(es):
[1] Univ Estadual Campinas, Sch Elect & Comp Engn, 400 Albert Einstein Ave, BR-13083852 Campinas - Brazil
[2] Univ Paris 1 Pantheon Sorbonne, Ctr Econ Sorbonne, 106-112 Blvd Hop, F-75647 Paris 13 - France
[3] Limeira, Sch Appl Sci, 1300 Pedro Zaccaria St, BR-13484350 Limeira - Brazil
[4] Univ Paris 1 Pantheon Sorbonne, Paris Sch Econ, 106-112 Blvd Hop, F-75647 Paris 13 - France
Número total de Afiliações: 4
Tipo de documento: Artigo Científico
Fonte: European Journal of Operational Research; v. 282, n. 3, p. 945-956, MAY 1 2020.
Citações Web of Science: 0
Resumo

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. (C) 2019 Elsevier B.V. All rights reserved. (AU)

Processo FAPESP: 16/21571-4 - Métodos de apoio à decisão multicritério e multigrupo: modelos baseados no processamento da informação
Beneficiário:Guilherme Dean Pelegrina
Modalidade de apoio: Bolsas no Brasil - Doutorado
Processo FAPESP: 17/23879-9 - Integrais de Choquet em tomada de decisão multicritério multigrupo
Beneficiário:Guilherme Dean Pelegrina
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado