A method matches elements in two schemas for two associated databases using automatic schema matching (ASM), wherein there is one schema for each database, wherein the elements define objects in the databases, and wherein the matching is performed on pairs of the elements by a combined matcher including a set of matchers. A Bayesian network (BN) is constructed for the set of matchers, and for each pair of elements the following steps are performing: obtaining an individual similarity value for each pair of the elements and each matcher, determining a likelihood ratio for each individual similarity value, performing belief updating on the BN using the likelihood ratios to obtain a final similarity value and corresponding probability, and outputting the final similarity value and the probability to indicate whether the pair of the elements match, or not.