解释结构模型中系统的骨干矩阵表示

Skeleton Matrix Representation of Systems in Interpretive Structural Modeling

解释结构模型法是一个正在形成和发展的系统模型化方法,它对于分析和研究复杂系统之间的关系极为有用。 John.N.Waifield给出了一个由系统的缩减矩阵求骨干矩阵的算法,步骤较繁锁。本文通过对邻接矩阵的分析,证明了邻接矩阵的几个新的性质定理,并获得了由系统缩减矩阵表示系统骨干矩阵的简明表达式。

In this paper we prove some new theorems for adjacency matrixies of systems and present a simple formula for finding the skeleton matrix of a system, therefore the algorithm which is given by J.N. Waifield [1] is much better improved.