中文摘要：

最优性问题在研究博弈理论、目标规划、最低风险问题等方面有重要应用,利用非光滑分析,定义了一类新的广义不变凸函数,研究了涉及此类函数的多目标半无限分式规划问题,得到了参数对偶问题的弱对偶和严格逆对偶条件,在新的凸性下得到了一些重要结论.

英文摘要：

Optimization plays an important role in game theory,goal programming,minimum risk problems,etc.By nonsmooth analysis,a new class of invex functions are defined,and multi-objective semi-infinite fractional programming problems involving the new defined invex functions are investigated.Then,weak dual conditions and strictly converse dual conditions of parameter dual problems are obtained,and some important conclusions are also drawn under the new convexity.