Necessary and sufficient conditions for fuzzy optimality problems

Osuna-Gomez R.; Chalco-Cano Y.; Rufian-Lizana A.; Hernandez-Jimenez B.

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Necessary and sufficient conditions for fuzzy optimality problems

机译：模糊最优问题的充要条件

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摘要

In this paper we define a new minimum concept for fuzzy optimization problems more general than those that exist in the literature. We find necessary optimality conditions based on a new fuzzy stationary point definition. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. (C) 2015 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2016年第1期|112-123|共12页
作者
Osuna-Gomez R.; Chalco-Cano Y.; Rufian-Lizana A.; Hernandez-Jimenez B.;
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作者单位

Univ Seville, Dept Estadist & IO, Seville, Spain;

Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile;

Univ Seville, Dept Estadist & IO, Seville, Spain;

Univ Pablo de Olavide, Dept Econ Metodos Cuantitat & Hist Econ, Area Estat & 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; Differentiable fuzzy mappings; Fuzzy generalized convexity;

机译：模糊优化;可微模糊映射;模糊广义凸;

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1. NECESSARY AND SUFFICIENT CONDITIONS OF OPTIMALITY IN THEPROBLEMS OF CONTROL WITH FUZZY PARAMETERS [J] . I. V. Molchanyuk, A. V. Plotnikov Ukrainian mathematical journal . 2009,第3期

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2. Necessary and sufficient conditions of optimality for an optimal control problem with non-local boundary conditions and quadratic functional [J] . F. Criado-Aldeanueva, F. Criado, N. Odisehlidze, Optimal Control Applications and Methods . 2014,第2期

机译：具有非局部边界条件和二次函数的最优控制问题的最优性的充要条件
3. SECOND-ORDER SUFFICIENT OPTIMALITY CONDITIONS FOR A SEMILINEAR OPTIMAL CONTROL PROBLEM WITH NONLOCAL RADIATION INTERFACE CONDITIONS [J] . Christian Meyer ESAIM . 2007,第4期

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4. Sufficient optimality conditions for impulsive and switching optimal control problems [C] . Li Lihua, Gao Yan Chinese Control Conference . 2015

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5. I. A necessary and sufficient condition that a curve lie on a quadric surface; II. A necessary and sufficient condition that a curve lie on a hyperquadric. [D] . Graue, Louis C. 1950

机译：一，曲线位于二次曲面上的充要条件；二。曲线位于二次方上的必要和充分条件。
6. On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints [O] . Sy-Ming Guu, Yadvendra Singh, Shashi Kant Mishra -1

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7. Second-order sufficient optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions [O] . Meyer Christian 2007

机译：具有非局部辐射界面条件的半线性最优控制问题的二阶充分最优条件

Necessary and sufficient conditions for fuzzy optimality problems

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