| 对多目标数学规划自身对偶性的若干注记 |
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| 引用本文： | 刘树林.对多目标数学规划自身对偶性的若干注记[J].内蒙古工业大学学报,1993(2). |
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| 作者姓名： | 刘树林 |
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| 作者单位： | 内蒙古工学院基础部 |
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| 摘 要： | 本文首先指出文1]中关键的两个标量化定理(即引理7和引理9)都是不成立的,然后给它们补充条件使之成立,并给出文中假定 A.成立的一个简要的充要条件;最后指出该文中的规定 C_1 C_2是不合理的,这样文1]的全部结论成立。
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| 关 键 词： | 多目标数学规划 自身对偶性 非控解 |
Comments on Self-duality of Multiobjective Mathematical Programming |
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| Liu Shulin.Comments on Self-duality of Multiobjective Mathematical Programming[J].Journal of Inner Mongolia Polytechnic University(Social Sciences Edition),1993(2). |
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| Authors: | Liu Shulin |
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| Institution: | Teaching Department of Basic Sciences |
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| Abstract: | First,arguments are put forth against the tenability of two important scalar theorems(Lemma 7 and Lemma 9 in1]).Then,conditions are suggested which will make the theorems tenable.A sufficient and necessary condition for the tenability of assumption A_4 is also given. Finally,the supposition C_1 C_2 is proved unreasonable. |
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| Keywords: | multiobjective mathematical programming self-duality nondominated solution |
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