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

European Journal of Operational Research, 2020, vol. 282, issue 3, 945-956

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: Multiple criteria analysis; Multi-attribute utility theory; Multilinear model; 2-additive capacity; Capacity identification (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377221719308215
Full text for ScienceDirect subscribers only

Related works:
Working Paper: The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification (2020)
Working Paper: The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification (2020)
Working Paper: The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification (2020)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:282:y:2020:i:3:p:945-956

DOI: 10.1016/j.ejor.2019.10.005

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().