reasoning algorithm is proposed.The fuzzy reasoning algorithm is formally expressed using max-algebra matrix equation， and has parallel reasoning ability.An automatic underwater vehicle system faults model is proposed and the probability of every

part is analyzed to give the sequence of troubleshooting.Experiments show that the model is intuitive，strongly expressive and easy to reason. %U http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2010.19.063