Μοντελοποίηση ασαφών συστημάτων με την χρήση δικτύων Petri
Modeling fuzzy systems using Petri nets
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Keywords
Ασαφή σύνολα ; Δίκτυα Petri ; Fuzzy systemsAbstract
Fuzzy sets (e.g. tall people, large numbers) are a quite useful way of expression and modeling of the real world. Fuzzy logic is a type of logic to which the logical variables do not have as domain the set {0,1} but can take any value on the real interval [0,1]. This value is called membership degree and expresses the level of participation of the variable in a fuzzy set. If these variables are involved in if-then rule, then we these rules are calledfuzzy production rules (fuzzy rules). Any system that is based on a set of fuzzy production rules is called Fuzzy System. Fuzzy systems are particularly widespread and find many applications in the modern world.
Petri nets are a powerful formalism modeling tool and dynamical systems. These networks combine a well-defined mathematical background along with a graphical representation in the form of directed graph. Besides that, their state is dynamic and can change during time.
Despite the fact that Petri nets are suitable for dynamic system modeling, the complexity of some dynamic systems is very big. Thus, modeling a fuzzy system, which is based on a set of fuzzy rules is some times extremely complicated. This thesis is focused on the presentation and the study of Fuzzy Networks Petri (Fuzzy Petri Nets - FPN) with which it is possible to modeling fuzzy systems. Moreover, we also developed a software (called PetriNetSim) which offers design and simulation possibilities of a FPN.