Modelling of Mamdani Fuzzy Inference Engine using hierarchical colored Petri nets

Fuzzy Inference System (FIS) is mapping the input space to the output space. A Fuzzy Rule Base (FRB) consists of a set of fuzzy IF-THEN rules. It is the heart of the fuzzy system in the sense that all other components are used to implement these rules in a reasonable and efficient manner. FIS consists of three main sections. The first section contains the exact values(non-fuzzy) expressed by IF condition. The second part contains the result calculation of THEN. The third part consists of aggregating of the fuzzy results and obtained the non-fuzzy output. In this paper, using CPN Tools Software are described colors set for modelling of Mamdani Fuzzy Inference Engine, Then the Fuzzy Inference Rules will be presented as a submodel. In the third step implementation of each model and the proof correctness a particular condition of the basic rules that will apply to the network as a token.