Dealing with redundancies among criteria in multicriteria decision making through independent component analysis

Autor(es)

Pelegrina, Guilherme Dean ; Duarte, Leonardo Tomazeli ; Grabisch, Michel ; Romano, Joao Marcos Travassos

• Tipo de documento: Artigo Científico
• Fonte: COMPUTERS & INDUSTRIAL ENGINEERING; v. 169, p. 19-pg., 2022-04-26.

Resumo

Redundancies among criteria are frequently observed in multicriteria decision making problems. This aspect may introduce bias in the achieved ranking, since alternatives that have a good performance only in redundant criteria will be favored in comparison with other ones. Aiming at dealing with this inconvenience, several sophisticated approaches were developed in the literature. Most of them require subjective information provided by the decision maker in order to define the set of parameters. In this paper, we consider one of the simplest and most used method, called weighted arithmetic mean, and propose some approaches to automatically adjust the weights in order to deal with redundant criteria. For this purpose, we formulate the problem as a blind source separation one and apply independent component analysis techniques to extract the information used to perform the adjustments. Numerical experiments in both synthetic and real data attest our proposal. Moreover, we extend the proposed approaches to deal with group multicriteria decision making problems. (AU)

• Processo FAPESP: 20/01089-9 - Separação não-supervisionada de sinais: um estudo sobre a aplicabilidade de redes generativas adversárias e sobre modelos não-lineares baseados na Integral de Choquet
• Beneficiário: Leonardo Tomazeli Duarte
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• 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
• Processo FAPESP: 20/09838-0 - BI0S - Brazilian Institute of Data Science
• Beneficiário: João Marcos Travassos Romano
• Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia
• 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