Flexible Generalized Fuzzy Petri Nets for Rule-Based Systems

In 2015, the modified generalised fuzzy Petri nets (mGFP-nets) were proposed. This paper describes an extended class of mGFP-nets called flexible generalised fuzzy Petri nets (FGFP-nets). The main difference between the latter net model and the mGFP-net concerns transition operator \(Out_1\) appearing in a triple of operators \((In, Out_1, Out_2)\) in a mGFP-net. The operator \(Out_1\) for each transition is determined automatically by the GTVC algorithm, using the value of In and the value of truth degree function \(\beta \) in the net. This modification has significant influence on optimization of the modelled system by the FGFP-nets. The choice of suitable operators for the modelled system is very important, especially in systems described by incomplete, imprecise and/or vague information. The proposed approach can be used both for control design as well as knowledge representation and modelling of reasoning in decision support systems.