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

Department of Mathematics

Universidade Estadual Paulista Júlio de Mesquita Filho
University of Seville

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

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.

Original language	English
Pages (from-to)	60-69
Number of pages	10
Journal	Fuzzy Sets and Systems
Volume	272
Issue number	1
DOIs	https://doi.org/10.1016/j.fss.2015.02.001
State	Published - 2015

Keywords

Fuzzy optimization
Generalized Hukuhara differentiability
Newton method

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10.1016/j.fss.2015.02.001

Cite this

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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

SN - 0165-0114

VL - 272

SP - 60

EP - 69

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 1

ER -

On the Newton method for solving fuzzy optimization problems

Abstract

Keywords

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