On the Newton method for solving fuzzy optimization problems


Autoria(s): Chalco-Cano, Y.; Silva, G. N.; Rufian-Lizana, A.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

21/10/2015

21/10/2015

01/08/2015

Resumo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Processo FAPESP: 2013/07375-0

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.

Formato

60-69

Identificador

http://www.sciencedirect.com/science/article/pii/S0165011415000640

Fuzzy Sets And Systems. Amsterdam: Elsevier Science Bv, v. 272, p. 60-69, 2015.

0165-0114

http://hdl.handle.net/11449/128869

http://dx.doi.org/10.1016/j.fss.2015.02.001

WOS:000353512500004

Idioma(s)

eng

Publicador

Elsevier B.V.

Relação

Fuzzy Sets And Systems

Direitos

closedAccess

Palavras-Chave #Fuzzy optimization #Generalized Hukuhara differentiability #Newton method
Tipo

info:eu-repo/semantics/article