多目标规划下伪不变凸函数的性质 |
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引用本文: | 蒋华,廖江东.多目标规划下伪不变凸函数的性质[J].渝西学院学报(自然科学版),2011(1):23-24. |
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作者姓名: | 蒋华 廖江东 |
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作者单位: | 重庆师范大学数学学院;长江师范学院数学与计算机学院; |
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摘 要: | 从广义凸性的角度,首先引入了两种新的不变凸函数,考虑了向量关键点,并且在多目标规划下,证明了每个向量关键点均是有效解这一重要性质.
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关 键 词: | 不变凸 伪不变凸 有效解 向量关键点 |
Properties of pseudoinvex function under multi-objective programming |
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Authors: | JIANG Hua LIAO Jiang-dong |
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Institution: | JIANG Hua1,LIAO Jiang-dong2(1.Department of Mathematics,Chongqing Normal University,Chongqing 400047,China,2.College of Mathematics and Computer Science,Yangtze Normal University,Fuling Chongqing 408100,China) |
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Abstract: | In this paper,two new class of vector functions were introduced.They are the extension of pseudoinvex function.Considering the vector critical point,under multi-objective programming,it is proved that every vector critical point are the effective solution. |
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Keywords: | invexity Pseudoinvexity efficient solution vector critical point |
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