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Semantic matching: given two graph representations of ontologies G1 and G2, compute N1 × N2 mapping elements 〈IDi,j, n1i, n2j, R′〉 , with n1i ∈ G1, i = 1,...,N1, n2j ∈ G2, j = 1,...,N2 and R′ the strongest semantic relation which is supposed to hold between the concepts at nodes n1i and n2j.
A mapping element is a 4-tuple 〈IDij, n1i, n2j, R〉, i = 1,...,N1; j = 1,...,N2; where IDij is a unique identifier of the given mapping element; n1i is the i-th node of the first graph, N1 is the number of nodes in the first graph; n2j is the j-th node of the second graph, N2 is the number of nodes in the second graph; and R specifies a semantic relation which is supposed to hold between the concepts at nodes n1i and n2j.
The semantic relations are within equivalence (=), more general (⊒), less general (⊑), disjointness (⊥) and overlapping (⊓). When none of the above mentioned relations can be explicitly computed, the special idk(I don’t know) relation is returned. The relations are...
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