Stabilities for multiobjective programming under conical order perturbations(Chinese)
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摘要: 利用锥序列的P-K收敛概念,讨论了锥序扰动而可行集固定的情况下有效点集和弱有效点集的稳定性问题.还给出了多目标规划的有效解集和弱有效解集的稳定性,得到了线性算子下的稳定性结果.Abstract: In this paper the stabilities of the efficient points and the weak efficient points were discussed under cone order perturbations with fixed feasible set, in the sense of Painleve-Kuratowski convergence of set sequence. The stabilities of the same kind of multiobjective programming problems were also given, and the stability results under the linear operators were obtained.
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