Mond-Weir type second-order symmetric duality in multiobjective programming over cones

Gulati TR; Geeta

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Mond-Weir type second-order symmetric duality in multiobjective programming over cones

机译：锥多目标规划中的Mond-Weir型二阶对称对偶

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A pair of Mond-Weir type second-order symmetric dual multiobjective programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under pseudoinvexity/K-F-convexity assumptions.

机译：拟定了一对任意锥上的Mond-Weir型二阶对称对偶多目标程序。弱，强和逆对偶定理是在伪不变性/ K-F-不变性假设下建立的。

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《Applied mathematics letters》 |2010年第4期|共6页
作者
Gulati TR; Geeta;
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正文语种 eng
中图分类应用数学;
关键词
Nonlinear programming; Multiobjective programming; Symmetric duality; Cones; Efficient solutions;

机译：非线性规划;多目标规划;对称对偶;锥;有效解;

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专利

1. Mond-Weir type second-order symmetric duality in multiobjective programming over cones [J] . Gulati TR, Geeta Applied mathematics letters . 2010,第4期

机译：锥多目标规划中的Mond-Weir型二阶对称对偶
2. Wolfe type second-order symmetric duality in multiobjective programming over cones [J] . Chen Y, Luo ZM Journal of computational analysis and applications . 2011,第7期

机译：锥多目标规划中的Wolfe型二阶对称对偶性
3. Second-order symmetric duality in multiobjective programming over cones [J] . Tilak Raj Gulati, Geeta Mehndiratta Journal of the Korean Mathematical Society . 2016,第1期

机译：锥多目标规划中的二阶对称对偶
4. Mond-Weir's type duality for interval-valued programming [C] . Sun Yuhua, Wang Laisheng CSAE2012;IEEE international conference on computer science and automation engineering . 2012

机译：区间值编程的Mond-Weir类型对偶
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. Mond–Weir type second-order symmetric duality in multiobjective programming over cones [O] . Gulati T.R., Geeta 2010

机译：锥多目标规划中的Mond–Weir型二阶对称对偶

Mond-Weir type second-order symmetric duality in multiobjective programming over cones

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