中文摘要：

研究了一个非光滑半无限多目标优化问题（简记为SIMOP）,并讨论了它的最优性条件.首先,通过对目标函数和约束函数的某种组合赋予Clarke F-凸性假设,获得了SIMOP（弱）有效解的最优性充分条件.接下来,用Chankong-Haimes方法建立了此SIMOP的一个标量问题并得到了这个标量问题的最优性充分条件.

英文摘要：

The nonsmooth semi-infinite multiobjective optimization problem （SIMOP） was ad- dressed and its optimality conditions were discussed. First, the Clarke F-convexity hypothesis was imposed on some combinations of the objective functions and the constraint functions, the sufficient optimality conditions for the （weakly） efficient solution to the SIMOP were estab- lished. Next, the sufficient optimality conditions for the optimal solution to its scalar problem were obtained with the Chankong-Halmes method.