Current methodologies in displaying dynamic organic frameworks regularly need fathomability, particularly for users without scientific foundation. In this paper propose another way to deal with defeat such confinements by joining the graphical representation gave by the utilization of Petri nets with the demonstrating of flow by effective yet natural fuzzy logic based frameworks. We build a fuzzy reasoning Petri net (FRPN) model for the genetic regulatory network of the lac operon of E. coli bacterium. Depending on the FPN formalism is a decent other option to mathematical equations that require dynamic parameter qualities and better than Boolean Formalism which naturally sets control as "on" or "off" guidelines. The lac operon has been considered as a model framework for comprehension the molecular biology of gene expression with considered to its regulation. We approve our formal model via programmed checking a progression of characteristics that are known for the control of the lactose. In this way, we demonstrate the feasibility of utilizing FRPN to design and reason about biochemical systems.