Hierarchical fuzzy Petri nets and alpha-level sets inference

The work developed in this paper focuses the representations of alpha-level sets inference using the Hierarchical High Level Fuzzy Petri Nets. The. ba sic hierarchical construct used is the substitution of transitions. The mod eling process is carried Out defining one non-hierarchical HLFPN called pag e, that models the general operation and having different instances of the page for each one of the intervals representing the alpha sets. The concept s 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 b y the hierarchical constructs and pages. The inference method based on alph a-level ets, adopted in this work is also described. The convenience of app lying Hierarchical HLFPN to the modeling of alpha-sets inference is discuss ed using a basic inference pattern with fuzzy rules. (C) 1999 John Wiley & Sons, Inc.