Modeling an agro-alimentary production system using Petri nets and fuzzy logic

This paper describes the modeling of a manufacturing process using Petri nets [Silva et al., 1998, Peterson, 1982]. Thanks to this approach, we could structure and separate the order model from the data model, and hence assure the modeling's adaptability and portability. Due to the data types and uncertainty of some, we apply the theory of fuzzy subsets developed by Zadeh in 1970 [Zadeh, 1975] to model the system's "uncertainty" parameters. In addition, we present a brief summary of the basic concepts of fuzzy linear programming used in the decidability of our problem, allowing us to model one of the links in the production system, which the manufacturing process represents.