| Full text | |
| Author(s): |
Pelegrina, Guilherme Dean
[1, 2]
;
Duarte, Leonardo Tomazeli
[3]
;
Grabisch, Michel
[2, 4]
;
Travassos Romano, Joao Marcos
[1]
Total Authors: 4
|
| Affiliation: | [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
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | European Journal of Operational Research; v. 282, n. 3, p. 945-956, MAY 1 2020. |
| Web of Science Citations: | 0 |
| 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. (C) 2019 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 16/21571-4 - Multigroup and multiple criteria decision analysis methods: models based on information processing |
| Grantee: | Guilherme Dean Pelegrina |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 17/23879-9 - Choquet integrals in multi-group multi-criteria decision making |
| Grantee: | Guilherme Dean Pelegrina |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |