| 锥连续锥拟凹多目标规划问题弱有效解集的连通性 |
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| 引用本文： | 施斗山,柴惠文,王引观.锥连续锥拟凹多目标规划问题弱有效解集的连通性[J].应用数学与计算数学学报,2002,16(1):61-66. |
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| 作者姓名： | 施斗山 柴惠文 王引观 |
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| 作者单位： | 1. 浙江财经学院,杭州,310012
2. 嘉兴学院,嘉兴,314001 |
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| 摘 要： | 本文讨论了锥连续锥拟凹向量函数的弱有效解集的连通性问题；证明了当可行集X为紧凸集，目标函数f在X上锥连续锥拟凹时，其弱有效解集是连通的，在一定的意义下，改进了文献1] 中的结果。
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| 关 键 词： | 多目标规划 锥连续 锥拟凹 弱有效解集 连通性 |
| 修稿时间： | 2002年1月31日 |
On the Connectedness of the Set of Weakly Efficient Solutions for Cone-continuous and Cone-quasiconcave Multiobjective Programming Problem |
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| DOUSHAN SHI.On the Connectedness of the Set of Weakly Efficient Solutions for Cone-continuous and Cone-quasiconcave Multiobjective Programming Problem[J].Communication on Applied Mathematics and Computation,2002,16(1):61-66. |
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| Authors: | DOUSHAN SHI |
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| Abstract: | In this paper, we discuss the problem on the connectedness of the weakly efficient solutions set defined by a cone-continuous and cone-quasiconcave vector function. It is show that the set of weakly efficient solutions is connected when the feasible set X is compact and the objective function f is cone-continuous and cone-quasiconcave. |
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| Keywords: | Multiobjective Programming Cone-continuous Cone-quasiconcave Weakly ef-ficient solution Sets connectedness |
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