On the Newton method for solving fuzzy optimization problems

Chalco-Cano, Y.; Silva, G. N.; Rufian-Lizana, A.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/128869

Title:

On the Newton method for solving fuzzy optimization problems

Author(s):

Institution:

Universidad de Tarapacá
Universidade Estadual Paulista (UNESP)
Universidad de Sevilla

ISSN:

0165-0114

Sponsorship:

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)

Sponsorship Process Number:

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

Abstract:

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.

Issue Date:

1-Aug-2015

Citation:

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

Time Duration:

60-69

Publisher:

Elsevier B.V.

Keywords:

Fuzzy optimization
Generalized Hukuhara differentiability
Newton method

Source:

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

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/128869

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