ID 原文 译文
2303 首先将多目标按相关性均匀排列在单位圆圆弧上，根据适应度函数值将解集映射为类圆空间内的一个多边形，并通过多边形的几何中心和面积对解集进行 3 维可视化。 Many-objective are uniformly distributed in order on a unit arc according to their corre-lation. Based on the fitness function value, the solution sets are mapped into a polygon in quasi-circular space. So 3 dimen-sional visualization of the solution set is achieved through the geometric center and area of polygons.
2304 在此基础上对类圆支配与均衡性进行了定义，并对类圆映射下的支配关系、映射遮挡等进行了理论分析与证明。 On the basis of this, thequasi-circular domination and equilibrium are defined. The dominance relation and mapping occlusion under quasi-circularmapping are theoretically analyzed and proved.
2305 与平行坐标系、主成分分析方法和径向可视化方法相比表明，本文方法能保持解集 Pareto 支配关系，并能反映解集在原始空间的密度分布和形状。 Compared with parallel coordinates, principal component analysis and radial visualization, this method can preserve the Pareto dominance.
2306 此外，还能有效避免解集映射点遮档。 In addition, it can also reflect frontier distribution and shape inthe original space and effectively avoid data blocking.
2307 其有利于决策者进行可视化评价和选择高维多目标解集。 It helps decision makers to evaluate and select many-objective solutionsets visually.
2308 在多模模式下，对侧向散射应答信号的模式特性、频率特性以及群距离特性进行了仿真分析， In multi-mode mode, pattern characteristics, frequency characteristics and distance characteristics of the ion-osphere side scatter response signals are simulated.
2309 并与获取的试验数据进行对比分析，验证了基于点到点的电离层侧向散射特性与两条链路上电离层特性关系， Comparing with the obatained experimental data, ionospheric side scatter characteristics and the relationship between the ionosphere characteristics on of the two links based on point-to-point are veri-fied.
2310 即电离层侧向散射的模式是侧向散射两条链路模式的组合， The mode of ionospheric side-scattering is a combination of two link modes of side-scattering.
2311 每一个组合模式的最小可用频率与两个模式最小频率的较大值相对应，组合模式的最大可用频率与两个模式最大频率的较小值相对应， The minimum available frequency of each combination mode corresponds to the larger value of the minimum frequency of the two modes. The maxi-mum available frequency of the combination mode corresponds to the smaller value of the maximum frequency of the two modes.
2312 每一组合模式的群距离是两种组合模式的群距离的和，为后续电离层特性的研究，以及电离层侧向散射对目标探测、多基地定位、工作参数选择等具有重大的意义。 The group distance of each combination mode is the sum of the group distances of the two combination modes. It is of great significance, for the study of subsequent ionospheric characteristics ionospheric side scattering for target detection, multi-base positioning, operating parameter selection, etc.