Models of fuzzy Petri net (FPN) are defined based on generating rules of kn
owledge base and the Petri nets semantics description of logical rules are
presented. Two kinds of reasoning patterns are considered. First, the belie
fs of initial propositions are known and their beliefs of noninitial propos
itions need to be computed. Second, the beliefs of initial propositions are
known and the beliefs of goal propositions need to be computed. The concur
rent reasoning algorithms of the two patterns based on multitask schedule a
re proposed. The application of this model and reasoning algorithm is discu
ssed.