模糊推理Petri网及其在故障诊断中的应用

FUZZY REASONING PETRI NET AND ITS APPLICATION TO FAULT DIAGNOSIS

分析了推理 Petri网与传统 Petri网的共性和区别 ,给出了模糊产生式规则推理Petri网模型 .在此基础上 ,给出了有效的推理算法 ,并以极大代数矩阵算子进行了形式化表示 ,此算法充分利用了 Petri网的数学理论基础和描述并发系统的能力 ,具有并行推理能力 ,可以同时得到推理后系统的全部状态值 .

A fuzzy reasoning Petri net(FRPN) model is defined in this paper to represent the fuzzy production rules of a rule based system. Based on the FRPN model, an efficient reasoning algorithm is proposed. The fuzzy reasoning algorithm is formally expressed using max algebra matrix equation, and has parallel reasoning ability. Through using this algorithm, the truth of all the statements in a system can be got from its initial state. An application to fault diagnosis system is explained through an example.