四指标问题的框架定义及运算——处理复杂系统的新思维系列之二十

The Framework Illustration of Four Index Problem New Thinkingof Dealing with Complex Systems Series Twenty

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。作为系列论文的第二十篇,介绍了四指标问题的框架定义,并用多边矩阵对解决四指标问题所要用到的矩阵基本运算、求迹运算与拉长运算作了阐述与实例说明。

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 twentieth paper of the series, the framework definition of four index problem was introduced, and multilateral matrix was used to solve four index problems involving the elaboration and illustration of basic operation, trace and vector operation of matrix.