中文摘要：

研究了多目标分式规划中非本质目标函数的特征，证明了目标函数是非本质目标函数的充分条件和必要条件，并提供了判别多目标分式规划中目标函数是非本质目标函数的有效工具。

英文摘要：

In this paper, nonessential objectives are characterized in muhiobjective fractional programming problems. Necessary and sufficient conditions for an objective function to be nonessential are proved. A useful way to determine if a given objective function in multiobjective fractional programming is nonessential or not is also presented.