On the Newton method for solving fuzzy optimization problems

Y. Chalco-Cano; G. N. Silva; A. Rufián-Lizana

doi:10.1016/j.fss.2015.02.001

On the Newton method for solving fuzzy optimization problems

Y. Chalco-Cano
, G. N. Silva
, A. Rufián-Lizana

Departamento de Matemática

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

58 Citas (Scopus)

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.

Idioma original	Inglés
Páginas (desde-hasta)	60-69
Número de páginas	10
Publicación	Fuzzy Sets and Systems
Volumen	272
N.º	1
DOI	https://doi.org/10.1016/j.fss.2015.02.001
Estado	Publicada - 2015

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title = "On the Newton method for solving fuzzy optimization problems",

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.",

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author = "Y. Chalco-Cano and Silva, \{G. N.\} and A. Rufi{\'a}n-Lizana",

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AU - Chalco-Cano, Y.

AU - Silva, G. N.

AU - Rufián-Lizana, A.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Fuzzy optimization

KW - Generalized Hukuhara differentiability

KW - Newton method

UR - https://www.scopus.com/pages/publications/84928320793

U2 - 10.1016/j.fss.2015.02.001

DO - 10.1016/j.fss.2015.02.001

M3 - Article

AN - SCOPUS:84928320793

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JO - Fuzzy Sets and Systems

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On the Newton method for solving fuzzy optimization problems

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