In: International Journal of Intelligent Systems, Vol. 14, No. 8, pages 747-774. 1999.
Abstract: The paper defines a time scale as a linear-ordered commutative monoid (LOC monoid) which generates the continuous time scale. Using some existing operations in fuzzy set theory, the proposed fuzzy time model is equipped with the algebraic structure of a semiring. The semiring structure provides a convenient environment in which a new semantics can be set up for some important features of a fuzzy-timing colored Petri net model (FTCPN), so that firing order of enabled events of this net model in a particular state can be determined. To do this, Murata's FTHN model is extended and dynamic behavior of the proposed model is established.
Keywords: LOC monoids, Murata's fuzzy net model, colored Petri nets, fuzzy timing.