规范半混合差集矩阵——处理复杂系统的新思维系列之二十二

本系列论文基于《多边矩阵理论》，由东方整体性思维所启迪，试图提供并完善一套从整体到局部处理复杂系统多指标问题、非均匀性问题、非线性问题的强有力的数学工具，并对其进行严格的理论推导和证明。作为系列论文的第22篇，介绍了规范半混合差集矩阵，并给出它和混合正交表的一种等价关系。作为例子，利用规范半混合差集矩阵构造了一些新的混合水平正交表。

Standard Half-Mixed Difference Matrices --New Thinking of Dealing with Complex Systems Series Twenty-two

This series of articles, based on ＂Multilateral Matrix Theory＂ and inspired by the Eastern holistic thinking,are trying to provide and improve a set of powerful mathematical tools to handle multitarget local issues, non-uniformity problems and nonlinear problems of complex system ranging from the whole to the part with rigorous theoretical analysis and proof. As the twenty-second paper of the series, the difference matrices was introduced, and an equivalence relation and mixed orthogonal arrays were provided. As an example, some new mixed-level orthogonal arrays were constructed on the basis of the standard-half-mixed difference matrices.