向量优化问题某些基础理论及其发展

Some Basic Theories of Vector Optimization and Its Development

在向量优化中存在很多基础的、重要的和有趣的问题。本文在总结了向量优化问题中某些基础理论发展趋势的基础上,提出向量优化问题,特别是变动偏好结构的向量优化问题需要新的数学概念、方法和工具去处理,有可能形成新的数学研究的方向;并进一步展现了向量优化问题理论研究的某些新的方向及许多理论问题的近代发展。

There are many basic important and interesting questions of vector optimization. On the basis of summarizing the developing trends of basic theoies of vector optimization ,this paper puts forward the question of it, particularily the question of its variation for the better,which many new mathematical conceptions, method and implements are wanted to deal with. It is possible that new mathematical directions will be shaped here. Meanwhile,the author goes further into some new orientations of the research and some modern theoretical develonment of vector optimization.