| 三类恰当有效解集在正锥下的等价性和存在性 |
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| 引用本文： | 粟其峰.三类恰当有效解集在正锥下的等价性和存在性[J].海南大学学报(自然科学版),2011,29(2):117-119. |
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| 作者姓名： | 粟其峰 |
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| 作者单位： | 贵州大学理学院,贵州贵阳,550025 |
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| 基金项目： | 国家自然科学基金(10771042) |
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| 摘 要： | 证明了Ge恰当有效解、Be恰当有效解和He恰当有效解在正锥下的等价性,且在此基础上,由在非空紧凸集上似凸多目标最优化问题的Ge恰当有效解的存在性,得出Be恰当有效解、He恰当有效解的存在性.
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| 关 键 词： | 多目标最优化 Ge恰当有效解 Be恰当有效解 He恰当有效解 等价性 存在性 |
Equivalence and Existence of Three Types of Appropriate Efficient Solution Set under the Positive Cone |
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| SU Qi-feng.Equivalence and Existence of Three Types of Appropriate Efficient Solution Set under the Positive Cone[J].Natural Science Journal of Hainan University,2011,29(2):117-119. |
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| Authors: | SU Qi-feng |
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| Institution: | SU Qi-feng(College of Science,Guizhou University,Guiyang 550025,China) |
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| Abstract: | In the report,properly efficient solutions of Ge,Be and He were proved in the cone under the equivalence.Based on it,with Ge existence of properly efficient solutions of the non-empty compact convex set to be convex multi-objective optimization problem,Be properly efficient solution and He properly efficient solution of the problem were obtained. |
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| Keywords: | multi-objective optimization Ge properly efficient solution Be properly efficient solution He properly efficient solution equivalence existence |
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