Fuzzy marking Petri nets: concepts and definition

This paper introduces the concepts and definition of fuzzy marking Petri nets. Previous approaches on fuzzy Petri nets were developed for specification purposes and therefore were restricted to safe nets and lacked the ability of analysis using the well developed Petri nets methods and tools. Fuzzy marking Petri nets are presented here as an extension of stochastic Petri nets in which markings are imprecise numbers represented by fuzzy membership functions. An algorithm for computing fuzzy markings is derived and justified. Applications to intelligent manufacturing and controls are discussed