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  

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

作　　者：罗纯[1] 张子晴[2] 张应山[3] 

机构地区：[1]上海应用技术学院理学院,上海201418 [2]华东师范大学第二附属中学,上海201203 [3]华东师范大学金融与统计学院,上海200241

出　　处：《上海应用技术学院学报（自然科学版）》2013年第4期313-320,共8页Journal of Shanghai Institute of Technology: Natural Science

基　　金：教育部高等学校博士学科点专项基金资助项目(44k55050)

摘　　要：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。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.

关 键 词：规范半混合差集矩阵 标准混合差集矩阵 原子差集矩阵 正交表 置换矩阵 

分 类 号：O212.6[理学—概率论与数理统计]