Hierarchical fuzzy Petri nets and ?-level sets inference

Heloisa A. Camargo, Fernando A. C. Gomide · International Journal of Intelligent Systems · 1999

The work developed in this paper focuses the representations of α-level sets inference using the Hierarchical High Level Fuzzy Petri Nets. The basic hierarchical construct used is the substitution of transitions. The modeling process is carried out defining one non-hierarchical HLFPN called page, that models the general operation and having different instances of the page for each one of the intervals representing the α sets. The concepts of HLFPN and Hierarchical HLFPN proposed earlier are reviewed, as well as the ability to model fuzzy rule based systems in a compact form provided by the hierarchical constructs and pages. The inference method based on α-level sets, adopted in this work is also described. The convenience of applying Hierarchical HLFPN to the modeling of α-sets inference is discussed using a basic inference pattern with fuzzy rules. © 1999 John Wiley & Sons, Inc.

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