A Graph of State Classes for Fuzzy Time Petri Nets

Authors:	Cardoso Janette, IRIT-UT1, France Sebastien Cousy, LAAS Toulouse, France Guy Juanole, LAAS Toulouse, France
Topic:	1.3 Discrete Event and Hybrid Systems
Session:	Analysis and Design of Hybrid Systems III
Keywords:	Time Petri net, possibility theory, fuzzy modeling, state space

Abstract

The goal of this paper is to extend the state graph class concept of a time Petri net to the fuzzy state graph class concept of a Fuzzy Time Petri net (FTPN). The fuzzy state class graph is defined by focusing on: i) the fuzzy time domains associated to the state classes; ii) the updating of the fuzzy time intervals after the firing of a transition; iii) the computation of Possibility and Necessity measures of transition firing.