多目标优化问题(ε,■)-拟真有效解的一个充分条件  

A Sufficient Condition for(ε,■)-Approximate Quasi Properly Solutions of Multiobjective Optimization Problems

作　　者：马圆圆 彭建文 MA Yuanyuan;PENG Jianwen(School of Mathematical,Science Chongqing Normal University,Chongqing401331,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《重庆师范大学学报（自然科学版）》2019年第2期6-10,共5页Journal of Chongqing Normal University:Natural Science

基　　金：重庆市基础科学与前言技术研究专项重点项目(No.cstc2015jcyjBX0029);国家自然科学基金面上项目(No.11171363)

摘　　要：【目的】对多目标优化问题(ε,■)-拟真有效解的充分条件进一步研究和推广。【方法】利用多目标优化问题的广义加权切比雪夫标量化问题或改进的加权切比雪夫标量化问题。【结果】在没有任何凸性假设的情况下,得到了多目标优化问题的(ε,■)-拟真有效解的一个新的充分条件。【结论】推广了已有文献中的结果。[Purposes]The sufficient condition for(ε,ε^-)-approximate quasi properly efficient solutions of multiobjective optimization problems are studied and generalized further.[Methods]By using lhe aug-mented weighted Tchebycheff scalarization problem of mul tiobjective optimization problem or the modified weighted Tchebycheff scalarization problem of multiobjective optimization problem.[Findings]It derives a new sufficient condition for(ε,ε^)-approximate quasi properly efficient solutions of multiobjective optimization problems without any convexity conditions.[Conclusions]he results are extended in the existing literature.

关 键 词：多目标优化 近似拟真有效解 非线性标量化 

分 类 号：O221.6[理学—运筹学与控制论]