Abstract
Concept lattices fulfil one of the aims of classification by providing a description by attributes of each class of objects. We introduce here two new similarity/dissimilarity measures: a similarity measure between concepts (elements) of a lattice and a dissimilarity measure between concept lattices defined on the same set of objects and attributes. Both measures are based on the overhanging relation previously introduced by the author, which are a cryptomorphism of lattices.
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Notes
- 1.
Birkhoff (1967) defines two objects, especially systems of axioms or semantics for them, as cryptomorphic if they are equivalent but not obviously equivalent.
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Domenach, F. (2015). Similarity Measures of Concept Lattices. In: Lausen, B., Krolak-Schwerdt, S., Böhmer, M. (eds) Data Science, Learning by Latent Structures, and Knowledge Discovery. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44983-7_8
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DOI: https://doi.org/10.1007/978-3-662-44983-7_8
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