STRONG DUALITY THEOREM FOR MULTIOBJECTIVE HIGHER ORDER NONDIFFERENTIABLE SYMMETRIC DUAL PROGRAMS

Xinmin Yang; Jin Yang; Heung Wing Joseph Lee

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STRONG DUALITY THEOREM FOR MULTIOBJECTIVE HIGHER ORDER NONDIFFERENTIABLE SYMMETRIC DUAL PROGRAMS

机译：多目标高阶不可微对称对偶规划的强对偶定理。

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摘要

In this paper, we establish a strong duality theorem for Mond-Weir type multiobjective higher order nondifferentiable symmetric dual programs. Our works correct some deficiencies in recent papers [higher-order symmetric duality in nondifferentiable multiobjective programming problems, J. Math. Anal. Appl. 290(2004)423-435] and [A note on higher-order nondifferentiable symmetric duality in multiobjective programming, Appl. Math. Letters 24(2011) 1308-1311],

机译：在本文中，我们为Mond-Weir型多目标高阶不可微对称对偶程序建立了一个强对偶定理。我们的工作纠正了近期论文中的一些不足[不可微分多目标编程问题中的高阶对称对偶，J。Math。肛门应用290（2004）423-435]和[关于多目标编程中高阶不可微对称对偶性的注释，Appl。数学。 Letters 24（2011）1308-1311]，

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来源
《Journal of industrial and management optimization》 |2013年第3期|525-530|共6页
作者
Xinmin Yang; Jin Yang; Heung Wing Joseph Lee;
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作者单位

Department of Mathematics Chongqing Normal University, Chongqing 400047, China;

Department of Applied Mathematics The Hong Kong Polytechnic University, Kowloon, Hong Kong, China;

Department of Applied Mathematics The Hong Kong Polytechnic University, Kowloon, Hong Kong, China;

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正文语种 eng
中图分类
关键词
Multiobjective programming; higher order Mond-Weir symmetric dual model; strong duality theorem; nondifferentiablity;

机译：多目标程序设计;高阶Mond-Weir对称对偶模型;强对偶定理;不可区分性;

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1. A note on strong duality theorem for a multiobjective higher order nondifferentiable symmetric dual programs [J] . Indira P. Debnath, S. K. Gupta, I. Ahmad Opsearch: Journal of the Operational Research Society of India . 2016,第1期

机译：关于多目标高阶不可微对称对偶程序的强对偶定理的一个注记
2. SYMMETRIC DUALITY RESULTS FOR SECOND-ORDER NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING PROBLEM [J] . Dubey Ramu, Mishra Vishnu Narayan RAIRO Operation Research . 2019,第2期

机译：二阶不可微多目标规划问题的对称对偶结果
3. Symmetric duality for a higher-order nondifferentiable multiobjective programming problem [J] . Indira P Debnath, Shiv K Gupta, Sumit Kumar Journal of inequalities and applications . 2015,第1期

机译：高阶不可微多目标规划问题的对称对偶
4. Nondifferentiable Multiobjective Wolfe Type Symmetric Duality under Invexity [C] . T. R. Gulati, Khushboo Verma International Conference on Soft Computing for Problem Solving . 2012

机译：在狭窄下的非目的多目标狼型对称二元性
5. An algebraic perspective on homogeneous cone programming, and the primal-dual second-order cone approximations algorithm for symmetric cone programming. [D] . Chua, Chek Beng. 2003

机译：齐次锥规划的代数视角，以及对称锥规划的原始-对偶二阶锥逼近算法。
6. Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function [O] . Arun Kumar Tripathy 2014

机译：广义Univex函数下具有平方根项的多目标分数规划的二阶对偶性
7. STRONG DUALITY THEOREM FOR MULTIOBJECTIVE HIGHER ORDER NONDIFFERENTIABLE SYMMETRIC DUAL PROGRAMS [O] . Xinmin Yang, Jin Yang, Heung Wing, 2014

机译：多目标高阶无穷对称对称双重程序的强对偶定理

STRONG DUALITY THEOREM FOR MULTIOBJECTIVE HIGHER ORDER NONDIFFERENTIABLE SYMMETRIC DUAL PROGRAMS

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