Resolution Spaces: A Topological Approach to Similarity

In DEXA 2000. IEEE Computer Society. pp. 553-557 (2000)
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A central concept for information retrieval is that of similarity. Although an information retrieval system is expected to return a set of documents most relevant to the query word(s), it is often described as returning a set of documents most similar to the query. The authors argue that in order to reason with similarity we need to model the concept of discriminating power. They offer a simple topological notion called resolution space that provides a rich mathematical framework for reasoning with limited discriminating power, avoiding the vagueness paradox
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