On the Newton method for solving fuzzy optimization problems

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Author(s):	Chalco-Cano, Y. ^[1] ; Silva, G. N. ^[2] ; Rufian-Lizana, A. ^{[1, 3]} Total Authors: 3
Affiliation:	^[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 Total Affiliations: 3
Document type:	Journal article
Source:	FUZZY SETS AND SYSTEMS; v. 272, p. 60-69, AUG 1 2015.
Web of Science Citations:	11
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. (AU)

FAPESP's process:	13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:	Francisco Louzada Neto
Support Opportunities:	Research Grants - Research, Innovation and Dissemination Centers - RIDC