运筹学学报 >
2019 , Vol. 23 >Issue 1: 35 - 44
DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2019.01.004
拟凸多目标优化问题近似解的最优性条件
收稿日期: 2017-07-10
网络出版日期: 2019-03-15
基金资助
国家自然科学基金（Nos.11771064，11431004），重庆市科委项目（Nos.cstc2015jcyjA00005，cstc2018jcyj-yszxX0009），重庆市教委项目（No.KJ1500309）
The optimality conditions of approximate solutions for quasiconvex multiobjective optimization problem
Received date: 2017-07-10
Online published: 2019-03-15
陈瑞婷, 徐智会, 高英 . 拟凸多目标优化问题近似解的最优性条件[J]. 运筹学学报, 2019 , 23(1) : 35 -44 . DOI: 10.15960/j.cnki.issn.1007-6093.2019.01.004
In this paper, we study the optimality conditions of approximate weak efficient solutions and approximate efficient solutions for quasiconvex multiobjective optimization problems. We introduce four concepts of approximate subdifferentials based on the existing subdifferentials of quasiconvex function, and give the relationship among them. And then, we apply these concepts to the quasiconvex multiobjective optimization problems, derive the sufficient conditions and necessary conditions for the approximate weak efficient solutions and the approximate efficient solution, and give some examples to illustrate the main results.
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