Analytic hierarchy process (AHP) is widely applied to simulation systems credibility evaluation, but the traditional AHP can not solve the step problem of credibility evaluation result. In order to resolve this problem, the main cause of step problem was pointed out to be AHP relative weight-s fault. With the reference of Petri net definitions, the AHP net concepts and mathematical basis were proposed. To the question of traditional AHP relative weight-s fault, the enhanced AHP net and its definitions, legends etc. were established. Based on the net definitions, the AHP ultra weight concept and mathematical expression were proposed. The evaluation node value and priority algorithm of AHP net with ultra weight were determined. A simulation credibility evaluation example was given and the numerical evaluation result was obtained. The result proves that, the AHP system with ultra weight can resolve the step problem of credibility evaluation result well.
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