多态单调关联系统的模型特性研究

Model Characteristic Research of Multistate Monotone Coherent System

本文引入向量水平函数和向量水平集的概念。这两个概念的意义在于：（１）利用向量水平集的性质推断单调系统的路集性质；（２）利用向量水平集的性质判断多态系统是否关联；（３）利用向量水平集的性质可以简化多态单调关联系统模型类的分析。本文先给出一般性结果，然后分析了二部件三态系统。

This paper introduces two concepts:vector level function and vector level set.Using their properties,we can conclude the properties of path set of montone system and can decide whether a multistate system is coherent.Moreover,we can simplify the model set analysis of multistate montone coherent system.We first gives the general results,and then analyse two component three state system.