群体多目标规划联合锥弱有效解类的稳定性

Stability of the Joint Cone Weakly Efficient Solution Set in Group Multiobjective Programming

对于群体多目标规划问题,得到了当其决策变量和目标序受扰动时它的联合锥弱有效解集在上半连续意义下的稳定性结果.此外,当扰动变量形成Baire空间时,分别证明了在Baire分类意义下变量扰动和序扰动的联合锥弱有效解集在连续意义下的稳定性.

For a group multiobjective programming problem, the stability results of a class of joint cone weakly efficient solution sets in the sense of upper semi-continuance were obtained with respect to the decision making variable perturbation and objective order perturbation respectively. In addition, this paper also proved that the joint cone weakly efficient solution sets are stable in the sense of continuance with respect to the variable perturbation and order perturbation respectively on the contents of Baire category when the perturbation variables form Baire space.