Modified Generalised Fuzzy Petri Nets for Rule-Based Systems

In [10], the generalised fuzzy Petri nets were proposed. This class extends the existing fuzzy Petri nets by introducing three input/output operators in the form of triangular norms, which are supposed to function as substitute for the classical min, max, and * (the algebraic product) operators. In this paper, we describe so called modified generalised fuzzy Petri nets. A functional interpretation of transitions based on inverted fuzzy implications is added to the model. The proposed net model is not only more comfortable in terms of knowledge representation, but most of all it is more effective in the modelling process of approximate reasoning as in the new class of fuzzy Petri nets the user has the chance to define both the input/output operators as well as transition operators. To demonstrate the power and the usefulness of this model, an application of the modified generalised fuzzy Petri nets in the domain of train traffic control is provided. The proposed approach can be used for knowledge representation and reasoning in decision support systems.