Artigo
On the Newton method for solving fuzzy optimization problems
Registro en:
Fuzzy Sets And Systems. Amsterdam: Elsevier Science Bv, v. 272, p. 60-69, 2015.
0165-0114
10.1016/j.fss.2015.02.001
WOS:000353512500004
3638688119433520
Autor
Chalco-Cano, Y.
Silva, G. N. [UNESP]
Rufian-Lizana, A.
Resumen
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. FONDECYT-Chile Ministerio de Ciencia y Tecnologia (Spain) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile Departamento de Estadística e I.O., Universidad de Sevilla, Spain Instituto de Biociências, Letras e Ciências Exatas, UNESP – Univ. Estadual Paulista, Câmpus de São José do Rio Preto, Departamento de Matemática Aplicada, São José do Rio Preto, SP, Brazil FONDECYT-Chile: 1120665 FONDECYT-Chile: 1120674 Ministerio de Ciencia y Tecnologia (Spain): MTM 2010-15383 CNPq: 309335/2012-4 CNPq: 479109/2013-3 FAPESP: 2013/07375-0