论文信息 - Fuzzy time semirings and fuzzy-timing colored Petri nets

Fuzzy time semirings and fuzzy-timing colored Petri nets

Ž We define a time scale as a linear-ordered commutative monoid LOC-monoid, for . short , which generalized the continuous time scale. Using some existing operations in fuzzy set theory, we equip our fuzzy time model with the algebraic structure of a semiring. This semiring structure provides a convenient environment in which we can set up a new semantics for some important features of a fuzzy-timing colored Petri net Ž . model FTCPN , and discuss firing order of enabled events of this net model in a particular state. To do this, we improve Murata’s FTHN model and establish the dynamic behavior of our model. Q 1999 John Wiley & Sons, Inc.

Fuming Wu | Fuming Wu

[1] Tadao Murata,et al. Temporal Uncertainty and Fuzzy-Timing High-Level Petri Nets , 1996, Application and Theory of Petri Nets.

[2] J. F. Baldwin,et al. Fuzzy sets and systems: Theory and applications: Didier DUBOIS and Henri PRADE Academic Press, New York, 1980, xvi + 393 pages, $56.50 , 1983 .

[3] Wolfgang Reisig,et al. Application and Theory of Petri Nets , 1982, Informatik-Fachberichte.

[4] Madan M. Gupta,et al. Introduction to Fuzzy Arithmetic , 1991 .

[5] Kurt Jensen,et al. Coloured Petri Nets: Modelling and Validation of Concurrent Systems , 2009 .

[6] Jonathan S. Golan,et al. The theory of semirings with applications in mathematics and theoretical computer science , 1992, Pitman monographs and surveys in pure and applied mathematics.