| 向量优化中varepsilon-真有效解的非线性标量化性质 |
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| 引用本文： | 夏远梅,赵克全. 向量优化中varepsilon-真有效解的非线性标量化性质[J]. 运筹学学报, 2014, 18(4): 58-64 |
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| 作者姓名： | 夏远梅 赵克全 |
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| 作者单位： | 1. 重庆师范大学数学科学学院, 重庆 401331 |
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| 基金项目： | 国家自然科学基金(Nos. 11301574, 11271391), 重庆市自然科学基金(No. cstc2012jjA00002), 重庆师范大学博士基金(No. 13XLB029), 第二批重庆市高等学校青年骨干教师资助计划 |
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| 摘 要： | 利用G"{o}pfert等提出的非线性标量化函数给出了向量优化中varepsilon-真有效解的一个非线性标量化性质, 并提出几个例子对主要结果进行了解释.
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| 关 键 词： | 向量优化 varepsilon-真有效解 非线性标量化 |
| 收稿时间： | 2014-02-04 |
Nonlinear scalarization characterizations for varepsilon-properly efficient solutions in vector optimization |
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| XIA Yuanmei,ZHAO Kequan. Nonlinear scalarization characterizations for varepsilon-properly efficient solutions in vector optimization[J]. OR Transactions, 2014, 18(4): 58-64 |
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| Authors: | XIA Yuanmei ZHAO Kequan |
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| Affiliation: | 1. College of Mathematics Science, Chongqing Normal University, Chongqing 401331, China |
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| Abstract: | In this paper, a nonlinear scalarization characterization of varepsilon-properly efficient solutions is given by means of a kind of nonlinear scalarization function proposed by G"{o}pfert et al. for vector optimization problems. And several examples are proposed to illustrate the main results. |
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| Keywords: | vector optimization varepsilon-properly efficient solutions nonlinear scalarization |
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