This article describes Petri net diagrams for fuzzy knowledge and reasoning. A mathematical model of fuzzy Petri nets to detect risks in rules by packet filtering is formed. A model of a two-level fuzzy packet filtering system that provides packet filtering perfor-mance is presented. This model uses fuzzy Petri net as a graphical method to describe the fuzzy logical control of the movement of packets through the firewall and allows it to determine the level of threat embedded in packets from the Internet and to change the or-der of ACLs by determining the rating of acceptance and rejection of packets. In the proposed model, the packet is represented by a token in place of fuzzy Petri nets, and the operation of the packet is illustrated by the transition of fuzzy Petri net, which is responsible for moving the packet from one place to another.
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