Fuzzy timed petri net definitions, properties, and applications

We present a new fuzzy timed Petri net model. Each transition firing in our model is associated with a fuzzy number; during transition, firings tokens are removed from input and added to output places. We consider the marks changing rate in each place as constant, and our performance analysis is based on the reachability state graph. Our model has fuzzy differential equations incorporated with it. Finally, we present the capabilities of the model by examples.