On the Newton method for solving fuzzy optimization problems

Autor(es)

Chalco-Cano, Y. ^[1] ; Silva, G. N. ^[2] ; Rufian-Lizana, A. ^{[1, 3]}

Afiliação do(s) autor(es)

^[1] Univ Tarapaca, Inst Alta Invest, Arica - Chile

^[2] UNESP, Inst Biociencias Letras & Ciencias Exatas, Dept Matemat Aplicada, Sao Jose Do Rio Preto, SP - Brazil

^[3] Univ Seville, Dept Estadist & IO, Seville - Spain

• Tipo de documento: Artigo Científico
• Fonte: FUZZY SETS AND SYSTEMS; v. 272, p. 60-69, AUG 1 2015.
• Citações Web of Science: 11

Resumo

In this article we consider optimization problems where the objectives are fuzzy functions (fuzzy-valued functions). For this class of fuzzy optimization problems we discuss the Newton method to find a non-dominated solution. For this purpose, we use the generalized Hukuhara differentiability notion, which is the most general concept of existing differentiability for fuzzy functions. This work improves and corrects the Newton method previously proposed in the literature. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs