An Analysis of Some Dual Problems for (0, Q) Invexity-Type Nonlinear Programming Problems

机译：（0，Q）凸型非线性规划问题的一些对偶问题分析

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摘要

In this paper, mathematical programming problems involving (0, Q) in vex functions with respect to eta are considered. Lagrange, Fenchel and Fenchel-Lagrange dual optimization problems are derived by means of distinct perturbations of the primal problem and studied. For the various dual problems, equality and inequality relations between the optimal values are verified under appropriate assumptions.

机译：在本文中，考虑了涉及eta的vex函数中涉及（0，Q）的数学编程问题。通过对原始问题的不同扰动来推导Lagrange，Fenchel和Fenchel-Lagrange对偶优化问题并进行了研究。对于各种对偶问题，在适当的假设下验证了最优值之间的相等和不平等关系。

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来源
《2014 Seventh International Joint Conference on Computational Sciences and Optimization》|2014年|257-261|共5页
会议地点 Beijing(CN)
作者
Liu Sanming; Wang Zhijie;
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原文格式 PDF
正文语种 eng
中图分类
关键词
Convexfunctions; Educationalinstitutions; Electronicmail; Mathematicalprogramming; Programming; Vectors; Conjugateduality; Invexity; Mathematicalprogramming; Optimalityconditions;

机译：凸函数;教育机构;电子邮件;数学编程;编程;向量;共轭性;凸度;数学编程;最优性条件;;

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1. Lagrangian Dual of Fuzzy Nonlinear Programming Problem and Some Duality Results [J] . G. Panda, S. Jaiswal The Journal of fuzzy mathematics . 2010,第2期

机译：模糊非线性规划问题的拉格朗日对偶及对偶结果
2. Duality in nonlinear programming problems under fuzzy environment with exponential membership functions [J] . S. K. Gupta, D. Dangar, I. Ahmad, Journal of inequalities and applications . 2018,第1期

机译：具有指数隶属函数的模糊环境下非线性规划问题的对偶
3. Duality in the fuzzy-parametric space for fuzzy-parametric nonlinear programming problem [J] . M. S. Osman, A. M. Abd Elazeem, M. A. Elsisy, Opsearch: Journal of the Operational Research Society of India . 2018,第3a4期

机译：模糊参数空间中的模糊参数空间，用于模糊参数 - 非线性规划问题
4. An Analysis of Some Dual Problems for (0, Q) Invexity-Type Nonlinear Programming Problems [C] . Liu Sanming, Wang Zhijie International Joint Conference on Computational Sciences and Optimization . 2014

机译：（0，Q）蜗杆型非线性规划问题的一些双重问题分析
5. Solving nonlinear problems in communication systems using geometric programming and dualities. [D] . Chiang, Mung. 2003

机译：使用几何规划和对偶性解决通信系统中的非线性问题。
6. Duality in nonlinear programming problems under fuzzy environment with exponential membership functions [O] . S. K. Gupta, D. Dangar, I. Ahmad, -1

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7. On(p,r)-Invexity-Type Nonlinear Programming Problems [O] . Antczak Tadeusz 2001

机译：关于（p，r）-凸型非线性规划问题

An Analysis of Some Dual Problems for (0, Q) Invexity-Type Nonlinear Programming Problems

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