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）并讨论它的对偶性．本文重点考虑此SIMOP的Mond—Weir型半无限多目标对偶问题，通过对目标函数和约束函数的某种组合赋予ClarkeF-凸性假设，获得了弱／强／逆对偶结论．文章的一些结论是比较新的，并推广了已有文献的一些结果．

英文摘要：

This paper deals with a nonsmooth semi-infinite multiobjective optimiza- tion problem （SIMOP, in brief） and discusses its duality. We focus on Mond-Weir type semi-infinite multiobjective dual problem of the SIMOP, and weak/strong/con- verse duality results are obtained by imposing Clarke F-convexity hypotheses on some combinations of objective functions and constraint functions. Some of our results are new and generalize the conclusions in some former literatures.