多边矩阵的关系距离及其优化应用——处理复杂系统的新思维系列之二十五

Relationship Distance Based on Multilateral Matrix and Its Application of Optimization——New Thinking of Dealing with Complex Systems Series Twenty-five

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25篇,介绍了多边矩阵的关系距离概念,给出了多边矩阵基于关系距离的算法,证明了这种算法是求解关系距离优化问题的简单且具有再现性的方法.作为应用,利用关系距离多边矩阵的广义交叉乘法中的求最小值的运算法则,解决了城市交通乘车方案中的优化问题.

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-fifth paper of the series,the concept of relationship distance based on multilateral matrices was introduced,and the generalized cross multiplication(for the minimum algorithm)of relationship distance based on multilateral matrices was presented,and it was proved that this method was simple and reproducible way of solving the optimization problem of the relationship distance.It could be applied to solve the optimization problem in unban traffic driving scheme by using the algorithm to get minimum value based on the generalized cross multiplication of multilateral matrix about relationship distance.