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Possibilistic Petri nets.

J Cardoso1, R Valette, D Dubois

  • 1Dept. of Autom. & Syst., Univ. Fed. de Santa Catarina, Florianapolis.

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
|February 7, 2008
PubMed
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This study introduces a possibilistic Petri net model, integrating possibility logic with object-oriented Petri nets to manage uncertainty in dynamic systems. This approach enhances reasoning about system states with imprecise or fuzzy information.

Area of Science:

  • Computer Science
  • Artificial Intelligence
  • Systems Engineering

Background:

  • Dynamic discrete event systems often involve inherent uncertainty and change.
  • Traditional Petri nets may struggle to represent imprecise system states effectively.
  • Possibility logic offers a framework for reasoning under uncertainty.

Purpose of the Study:

  • To introduce a novel possibilistic Petri net model.
  • To enable reasoning about uncertainty and change in dynamic systems.
  • To represent and update imprecise system states using fuzzy logic.

Main Methods:

  • Combining possibility logic with Petri nets with objects.
  • Introducing fuzzy markings to represent ill-known system states.
  • Developing a new marking updating mechanism for fuzzy markings.

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Main Results:

  • The possibilistic Petri net model effectively handles uncertainty and change.
  • Fuzzy markings provide a way to represent imprecise knowledge of system states.
  • A shop door monitoring example demonstrates the model's practical application.

Conclusions:

  • The proposed model enhances the representation and analysis of dynamic systems with uncertainty.
  • Possibilistic Petri nets offer a robust approach for dealing with vagueness in system states.
  • This framework has potential applications in various discrete event system monitoring and control scenarios.