中文摘要：

近期，夏远梅等（重庆师范大学（自然科学版），2015，32（1）：12-15）利用△函数通过非线性标量化方法研究了向量优化问题的ε-真有效解并举例说明了主要结果．笔者指出：其定理1是Gao等（JournalofIndustrialandManagementOptimization，2011，7（2）：483—496）建立的定理4．6（i）的特例；其定理2的证明存在不足．通过研究一般的（C，P）．真有效解的△函数非线性标量化．给出了定理2的严谨证明．最后，在ε-真有效解存在的情况下举例说明了主要结果．

英文摘要：

Recently, XIA Yuan-mei, et al. （ Journal of Chongqing Normal University （ Natural Science）, 2015, 32（ 1 ） ： 12-15） studied the ε- properly efficient solutions to vector optimization problems via scalar function A in terms of the nonlinear scalarization method, and gave some examples to illustrate their results. It was point out here that theorem l established by XIA Yuan-mei, et al. was a special case of theorem 4.5（i） obtained by Gao, et al. （Journal of In- dustrial and Management Optimization, 2011, 7（2）： 483-496）, and the proof of theorem 2 given by XIA Yuan-mei, et al. had some deficiency. Through investigation the nonlinear scalar- ization of function A for the （ C, ε）- properly efficient solutions, theorem 2 obtained by XIA Yuan-mei, et al. was proved again rigorously. In the end, some examples in which e- properly efficient solutions did exist, were given to illustrate the main results.