| 多目标规划锥有效解的最优性条件 |
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| 引用本文： | 王秋庭,王先甲.多目标规划锥有效解的最优性条件[J].数学物理学报(A辑),1998,18(1):48-55. |
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| 作者姓名： | 王秋庭 王先甲 |
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| 作者单位： | 武汉治金科技大学!武汉，430070，武汉水利电力大学!武汉，430072，武汉治金科技大学!武汉，430070 |
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| 摘 要： | 该文提出了广义锥凸向量函数以及向量函数关于锥八的下降、不变、非升、非降方向集等概念．在讨论它们的性质和判别条件的基础上，给出了决策可行集中的点为锥八一有效解的一系列充分必要条件．
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| 关 键 词： | 多目标规划 锥广义凸 锥有效解 |
Optimality Conditions of Cone Efficient Solution in Multiobjective Programming |
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| Wang Qiutiong.Optimality Conditions of Cone Efficient Solution in Multiobjective Programming[J].Acta Mathematica Scientia,1998,18(1):48-55. |
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| Authors: | Wang Qiutiong |
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| Institution: | Wang Qiutiong(Wuhan Yejin University of Science and Technology)Wang Xianjia(Wuhan University of Hydraulic and Electric Engineering)Tian Yixiang(Wuhan Yejing University of Science and Technology) |
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| Abstract: | This paper proposes the concepts of decreasing, unchanging, non-increasing andnon-decreasing direction set of the generalized cone-convex function with respect to a coneA' Based on discussing their propertics and distinguishing their conditions, this paper gives theSufficient and necessary conditions of which the points in feasible domain arc the cone efficient solution. |
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| Keywords: | Multiobjective programming Generalizcd cone-convex cone-efficient solution |
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