Abstract
We consider contexts with a finite set of entities described in a poset. When entity descriptions belong to a meet-semilattice, we show that nonempty extensions of concepts assigned to such a context coincide with weak clusters associated with pairwise or multiway dissimilarity measures satisfying some compatibility condition. Moreover, by duality principle, when entity descriptions belong to a join-semilattice, a similar result holds for so-called dual concepts of the given context.
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Diatta, J. (2004). Concept Extensions and Weak Clusters Associated with Multiway Dissimilarity Measures. In: Eklund, P. (eds) Concept Lattices. ICFCA 2004. Lecture Notes in Computer Science(), vol 2961. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24651-0_21
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DOI: https://doi.org/10.1007/978-3-540-24651-0_21
Publisher Name: Springer, Berlin, Heidelberg
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