On the Newton method for solving fuzzy optimization problems

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

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On the Newton method for solving fuzzy optimization problems

机译：关于牛顿法求解模糊优化问题

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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.

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《Fuzzy sets and systems》 |2015年第1期|60-69|共10页
作者
Chalco-Cano Y.; Silva G. N.; Rufian-Lizana A.;
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作者单位

Univ Tarapaca, Inst Alta Invest, Arica, Chile;

UNESP, Inst Biociencias Letras & Ciencias Exatas, Dept Matemat Aplicada, Sao Jose Do Rio Preto, SP, Brazil;

Univ Tarapaca, Inst Alta Invest, Arica, Chile|Univ Seville, Dept Estadist & IO, Seville, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy optimization; Generalized Hukuhara differentiability; Newton method;

机译：模糊优化广义Hukuhara微分牛顿法;

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1. Newton Method for Solving the Multi-Variable Fuzzy Optimization Problem [J] . Pirzada U.M., Pathak V.D. Journal of Optimization Theory and Applications . 2013,第3期

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2. Parallel Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization. Part II: The Lagrange-Newton solver and its application to optimal control of steady viscous flows [J] . Biros G, Ghattas O SIAM Journal on Scientific Computing . 2005,第2期

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3. Performance enhancement of Gauss-Newton trust-region solver for distributed Gauss-Newton optimization method [J] . Guohua Gao, Hao Jiang, Jeroen C. Vink, Computational Geosciences . 2020,第2期

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4. GENERALIZED GRADIENT SEARCH AND NEWTON'S METHODS FOR MULTILINEAR ALGEBRA ROOT-SOLVING AND OPTIMIZATION APPLICATIONS [C] . James D. Turner AAS John L. Junkins Astrodynamics Symposium; May 23-24, 2003; College Station, Texas . 2003

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5. AN EFFICIENT HYBRID OPTIMIZATION METHOD AND ITS ROLE IN COMPUTER-AIDED DESIGN (OPTIMIZATION, STRUCTURAL SYSTEMS, ACTIVE SET, QUASI-NEWTON METHODS, HYBRID ALGORITHM) [D] . THANEDAR, PRAMOD BHALCHANDRA. 1985

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6. Solving Coupled Cluster Equations by the Newton Krylov Method [O] . Chao Yang, Jiri Brabec, Libor Veis, 2020

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7. On the Newton method for solving fuzzy optimization problems [O] . Chalco Cano, Yurilev, Nunes Silva, Geraldo, Rufián Lizana, Antonio 2015

机译：关于牛顿法求解模糊优化问题

On the Newton method for solving fuzzy optimization problems

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