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GraSM (Graph-based Similarity Measure) is a semantic similarity measure for incorporating the semantic richness of a graph by selecting disjunctive common ancestors of two concepts. GraSM assumes that two common ancestors are disjunctive if there are independent paths from both ancestors to the concept.

For example, palladium, platinum and gold are considered to be precious metals, and gold and copper considered to be coinage metals. Thus, we have:

                  /     \
           precious     coinage
         /     |    \    /  \
palladium  platinum  gold   copper

When calculating the semantic similarity between platinum and gold, most topological measures only use their most informative common ancestor, in this case precious. On the other hand, GraSM takes also in account the following independent paths to metal:

gold -> coinage -> metal 
platinum -> precious -> metal

Thus, GraSM defines the similarity between platinum and gold proportional to the average of the information content of their common disjunctive ancestors: metal and precious; and the similarity between platinum and palladium only proportional to the information content of precious, since there are no independent paths from them to metal.

This means that for GraSM palladium and platinum are more similar than platinum and gold, since gold can have another interpretation.


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