Abstract: A class of multi-objective vector fractional programming problem （VFP）is studied. Under the condition that fi（x）≤0（i=1,2,…,ρ）,ρ（x）〉0,and f（x）、g（x）、ρ（x） are differential convex functions, the Kuhn-Tucher optimal condition of the muhi-objective vector fractional programming problem is discussed.

Key words: multi-objective fractional programming , differential convex functions , Kuhn-Tucher condition ;

摘要： 讨论了一类向量分式多目标规划问题(VFP)在fi(x)??0(i=1,2,??,p),??(x)>0,f(x)、g(x)、??(x)均为可 微凸函数条件下的Kuhn??Tucher型最优性条件。

关键词: 分式多目标规划, 可微凸函数, Kuhn??Tucher条件