基于FAHP的复杂系统的脆性过程分析

由于复杂系统具有层次结构，采用模糊层次分析法对复杂系统进行脆性分析。由模糊层次分析法得到子系统(或元件)的相对重要度排序向量，通过定义脆性激发度及激发阀值，对复杂系统的脆性是否被激发进行理论分析。通过分析，可以找出复杂系统中的脆性元件或因素，对其进行重点监测，使得最大程度避免了脆性的发生。最后以变压器故障的模糊层次分析为例，分析变压器故障的因素的相对重要度，找出易使变压器崩溃的脆性因素，说明进行复杂系统的脆性分析是必要的。

An Analysis of the Brittleness Process of Complex Systems Base on the Fuzzy Analytic Hierarchy Process

Complex systems have hierarchy structures. In this paper, we analyzed the brittleness of complex system with the Fuzzy Analytic Hierarchy Process(FAHP). We obtained the relative importance degree order vector of the subsystem(or element) with the method of Fuzzy Analytic Hierarchy Process(FAHP). Through defining the brittleness waken degree and waken threshold value, we theoretically analyzed if the brittleness of complex system can be waken. We can find the (brittle) element and factor of complex system and watch at it. It will avoid brittleness in the mix degree. At last, we gave an example as the fault of transformer, and analyzed the relative importance degree of factor of it. Moreover, we found the (brittle) factor of collapse of brittleness. This indicated it is essential to analyze the brittleness of complex system.