Title
On the Newton method for solving fuzzy optimization problems
Date Issued
01 January 2015
Access level
open access
Resource Type
journal article
Author(s)
Universidad de Tarapacá
Publisher(s)
Elsevier B.V.
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.
Start page
60
End page
69
Volume
272
Issue
1
Language
English
OCDE Knowledge area
Matemáticas
Subjects
Scopus EID
2-s2.0-84928320793
Source
Fuzzy Sets and Systems
ISSN of the container
01650114
Sponsor(s)
The research in this paper has been supported by FONDECYT -Chile, projects 1120665 and 1120674 , by Ministerio de Ciencia y Tecnología (Spain) through project MTM 2010-15383 , by the Brazilian National Council for Scientific and Technological Development –CNPq (Brazil) under Grant numbers 309335/2012-4 and 479109/2013-3 and by São Paulo State Foundation (FAPESP) under Grant number 2013/07375-0 – through the Center for Mathematical Sciences Applied to Industry – CeMEAI/CEPID.
Sources of information:
Directorio de Producción Científica
Scopus