Pareto最优性与等视野

摘要：

正在研究的是一类新的几何极值问题，其中需要在存在冲突目标的情况下实现最佳结果;例如，给定凸体$\mathfrak x$的表面积，我们试图同时最大化$\mathfrak x$的体积和最小化$\mathfrak x$的宽度。这些问题是解决沿线的多目标决策。

英文摘要：

Under study is the new class of geometrical extremal problems in which it is required to achieve the best result in the presence of conflicting goals; e.g., given the surface area of a convex body $\mathfrak x$, we try to maximize the volume of $\mathfrak x$ and minimize the width of $\mathfrak x$ simultaneously. These problems are addressed along the lines of multiple criteria decision making.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。