摘要
结合粗糙集理论和Petri网理论各自的特点提出了一种基于知识库系统的粗糙Petri网,并将其应用于多状态系统的可靠性估计中。首先用粗糙集理论从知识库中获得系统状态对各部件状态的依赖度和各部件状态对系统状态的重要度并提取出决策规则。在此基础上定义了带有权重的状态向量范数,系统状态是此范数的粗糙单调增函数,以此来确定Petri网的弧权值和变迁阈值函数,然后采用蒙特卡罗方法进行系统可靠性的估计。降低了多状态系统可靠性分析中的状态维数。
A rough Petri net based on knowledge base system was proposed, which integrates the features of rough set theory and Petri net. It was applied in multi-state system reliability estimate. The dependence extent of system states on component states, and the importance of the component states to the system states were obtained from the knowledge base by applying the rough set theory, and decision-making rules were extracted. A state vector norm with weight was defined. System states were approximate monotony increasing function of the norm, by which the arc weight and transition threshold function of Petri net were determined. System reliability was estimated by Monte Carlo method. So the state dimension is lowered in the reliability analysis of the polymorphous system.
出处
《兵工学报》
EI
CAS
CSCD
北大核心
2007年第11期1373-1376,共4页
Acta Armamentarii
基金
国防基础研究基金项目(Z272004A009)
