| 群体多目标规划αβ-较多联合有效解类的几何特性 |
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| 引用本文： | 杨万铨. 群体多目标规划αβ-较多联合有效解类的几何特性[J]. 运筹学学报, 2004, 8(2): 48-54 |
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| 作者姓名： | 杨万铨 |
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| 作者单位： | 温州大学数学与信息科学学院,温州,325027 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No. 70071026)，the Natural Science Foundation of Zhejiang (No. 101027). |
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| 摘 要： | 对于群体多目标规划问题，文[1]和[2]分别引进了它的联合有效解类和带参数α的α-较多联合有效解类，并且建立了这些解类的最优性条件．文[3]则研究了联合有效解类的几何特性．本文借助供选方案集的带两个参数α和β的αβ-较多有效数，定义了群体多目标规划问题的更一般的αβ-较多联合有效解类，并且研究了这些解的几何特性，得到了若干必要条件和充分条件．
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| 关 键 词： | 群体多目标规划 αβ-较多联合有效解 几何特性 最优性条件 |
Geometric Characterizations of a Class of αβ- Major Joint Efficient Solutions in Group Multiobjective Programming |
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| Abstract. Geometric Characterizations of a Class of αβ- Major Joint Efficient Solutions in Group Multiobjective Programming[J]. OR Transactions, 2004, 8(2): 48-54 |
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| Authors: | Abstract |
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| Abstract: | In [1] and [2], a class of joint efficient solutions and a class of α-major joint efficient solutions with parameter a for group multiobjective programming, are introduced respectively. In [3], the geometrical characterizations of the joint efficient solutions are studied. In this paper, with the help of αβ-major efficient numbers with two parameters a and ft of alternatives,concept of a class of αβ-major joint efficient solutions for group multiobjective programming problem is presented, and the geometric characterizations of the αβ-major joint efficient solutions are considered, and several necessary conditions and sufficient conditions are obtained. |
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| Keywords: | multiobjective programming αβ-major joint efficient solution geometric characterization |
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