一类不确定半无限多目标优化问题的鲁棒逼近最优性

Robust Approximate Optimality for a Class of UncertainSemi-infinite Multi-objective Optimization Problems

考虑一类含有不确定数据的半无限多目标优化问题,先引入该不确定半无限多目标优化问题的鲁棒逼近拟Pareto弱有效解,再借助鲁棒型次微分约束规格和一类广义凸性假设,给出该多目标优化问题的鲁棒逼近拟Pareto弱有效解的必要和充分最优性条件.

We considered a class of semi-infinite multi-objective optimization problems with uncertain data.We first introduced a robust approximate Pareto weak efficient solution of the uncertain semi-infinite multi-objective optimization problem.Then,by means of a robust-type subdifferential constraint qualification and a class of generalized convexity assumptions,we gave necessary and sufficient optimality conditions for the robust approximate quasi Pareto weak efficient solution of the multi-objective optimization problem.