Abstract:

Membership degree and non-membership degree are fixed in intuitionistic fuzzy set, but in air combat, pilots and experts can hardly define the membership degree and non-membership degree precisely and only an approximate boundary is provided. By taking advantages of knowledge representation and parallel reasoning abilities of Petri net, an interval valued intuitionistic fuzzy Petri net (IIFPN) and its rules and reasoning algorithms are designed, the complexity of the algorithm is discussed. Finally, the method is applied in a 2vs1 air combat situation to model the decision process and reason under undermined situation, and the result shows the effectiveness and validity of this method.