| 偏爱目标数意义下的多目标规划的有效性 |
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| 引用本文： | 余览娒.偏爱目标数意义下的多目标规划的有效性[J].温州大学学报(自然科学版),2002,23(6):40-45. |
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| 作者姓名： | 余览娒 |
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| 作者单位： | 温州师范学院数学系,浙江,温州,325027 |
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| 摘 要： | 本文引进有限维向量空间中的偏爱目标数意义下的序类，借助偏爱目标数意义下的序，定义了多目标规划的s-较多有效解、s-弱较多有效解、s-较多最优解和s-严格较多最优解，研究了它们之间的关系，以及它们与Pareto有效解、Pareto弱有效解、较多有效解和较多最优解等关系。
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| 关 键 词： | 偏爱目标数 有效性 多目标规划 s－较多有效解 s－较多最优解 目标函数 |
| 文章编号： | 1006-0375(2002)06-0040-(06) |
| 修稿时间： | 2002年4月6日 |
Major Efficency of Multiobjective Programming under Preference Objective Number |
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| Yu Lan-mei.Major Efficency of Multiobjective Programming under Preference Objective Number[J].Journal of Wenzhou University Natural Science,2002,23(6):40-45. |
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| Authors: | Yu Lan-mei |
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| Abstract: | In this paper we have introduced the order class concept under preference objective number in the finite-dimension vector space. With the help of them, we have defined s-major efficient solution, s-weakly major efficient solution, s-major optimal solution and .s-strict major optimal solution of multiobjecti ve programming problem. We have also studied the relation between them and their relation with Pareto efficient solution, Pareto weakly efficient solution, major efficient solution and major optimal solution. |
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| Keywords: | multiobjective programming s-major efficient solution s-major optimal solution |
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