Methods of modeling objects using Petri nets

Abstract

There are various elementary networks that are well suited for modeling simple objects and systems, as well as for representing some general patterns inherent in the most complex systems. All varieties of elementary Petri nets are modifications of a simple Petri net. This work is devoted to solving the problem of modeling critical systems based on the use of modified Petri nets. The dual (binary) Petri net is one of the modifications that allows you to simultaneously view inversion events, solving the problem with the possibility of dead ends. The construction of schemes using fuzzy logic allows you to calculate the values of linguistic variables of the acquired knowledge. The double Petri net allows you to organize the exclusion of negative events by introducing additional links. In accordance with the rules, it is possible to construct a double fuzzy Petri net, which involves the use of maximum and minimum transitions or the corresponding logical calculations of conjunctions and disjunctions. The transition from classical Petri nets to double fuzzy networks implements fuzzy knowledge of logical inference, which makes it possible to build expert systems with fuzzy logic that solve the problem of data analysis.There are various elementary networks that are well suited for modeling simple objects and systems, as well as for representing some general patterns inherent in the most complex systems. All varieties of elementary Petri nets are modifications of a simple Petri net. This work is devoted to solving the problem of modeling critical systems based on the use of modified Petri nets. The dual (binary) Petri net is one of the modifications that allows you to simultaneously view inversion events, solving the problem with the possibility of dead ends. The construction of schemes using fuzzy logic allows you to calculate the values of linguistic variables of the acquired knowledge. The double Petri net allows you to organize the exclusion of negative events by introducing additional links. In accordance with the rules, it is possible to construct a double fuzzy Petri net, which involves the use of maximum and minimum transitions or the corresponding logical calculations of conjunctions and disjunctions. The transi...