核差集矩阵——处理复杂系统的新思维系列之二十三  

Nuclear Difference Matrix——New Thinking of Dealing with Complex Systems Series Twenty-three

作　　者：罗纯[1,2] 张子晴[3] 张应山[2] 

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

出　　处：《上海应用技术学院学报（自然科学版）》2014年第1期68-78,共11页Journal of Shanghai Institute of Technology: Natural Science

基　　金：上海市教委科研创新资助项目(14ZZ161)

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23篇,介绍了核差集矩阵,并给出它和混合正交表的一种等价关系.作为例子,利用核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 multi-target 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-third paper of the series,the nuclear difference matrix was introduced,and an equivalence relation between it and mixed orthogonal arrays was given.As an example,some new mixed-level orthogonal arrays were constructed on the basis of the nuclear diffe-rence matrices.

关 键 词：核差集矩阵 标准混合差集矩阵 原子差集矩阵 正交表 置换矩阵 

分 类 号：N941.4[自然科学总论—系统科学]