广义凸性条件下一类多目标分式规划问题的最优性条件和对偶

Optimality Condition and Duality Results for a Class of Multi-objective Fractional Programming Problems with Generalized Convexity

本文在广义凸性条件下讨论了一类带扰动的多目标分式规划问题的最优性条件和对偶.将这类多目标分式规划问题转化为多目标规划问题,我们给出了原问题的最优性充分条件,并得到了弱对偶和强对偶结果.

In the article, it introduces and studies a class of multi - objective fractional programming problems with perturbation under generalized convexity conditions. It claims that the multi - objective fractional programming problem is equivalent to the multi - objective programming problem and establish a suffi9cient optimality condition for the multi - objective fractional programming problem. It also obtains the weak and strong duality theorems for the multi - objective fractional programming problem.