摘要
本文通过对[1]和[4]中引进的带参考指标偏爱解的支配锥进行分解,对其所定义的多目标规划带参考指标的偏爱解进行了研究,得出了这几种偏爱解的存在性定理和另外一些判别方法以及解的充要条件。此外,还对偏爱解集关于其参考指标的稳定性进行了探讨,得出了下半稳定性定理。
In this paper, We study the preference solution with reference criteria for multiobjec-tive programming by means of decomposing the domination cones.Several existence theo-rems about these preference solutions and more practical decision methods are given. Some necessary and sufficient conditions are proved.Further more, we discuss the stability for preference solution sets about reference criteria.Some lower semistability theorems are obtained.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1990年第1期8-16,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
