多边矩阵的集团关系序及其优化应用——处理复杂系统的新思维系列之二十六

Optimization of Aggregative Relationship Rank Based on Multilateral Matrix——New Thinking of Dealing with Complex Systems Series Twenty-six

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、非均匀性和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26篇,介绍了多边矩阵的集团关系序概念,给出了基于集团关系序的多边矩阵算法,证明了该算法是求解集团关系序优化问题的简单方法,并且分析结论具有再现性.作为应用,利用集团关系序多边矩阵,解决了对多种集团关系序结论的综合优化问题,并说明如何压缩综合优化的集团类,才能使得分析结论具有再现性.

This series of articles,based on ＂Multilateral Matrices 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-sixth paper of the series,the concept of aggregative relationship rank based on multilateral systems were introduced,and the multilateral matrix for the aggregative relationship rank was presented,and proved that this method was simple and reproducible way of solving the optimization problem of the aggregative relationship rank.As an application,based on the multilateral matrix for the aggregative relationship rank,solved the integrated optimization problem in a variety of analysis results.And explain how to compress the comprehensive optimization of group class,to make the analysis conclusion is reproducibility.