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The algebra of majority consensus

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Abstract

In this note we show that a median algebra can be defined in terms of a singlen-ary operation for anyn≥5, so that besides symmetry and a majority condition only one additional identity is required. This provides a short axiomatic characterization of majority consensus for taxonomic structures.

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Bandelt, H.J., Meletiou, G.C. The algebra of majority consensus. Algebra Universalis 29, 546–555 (1992). https://doi.org/10.1007/BF01190780

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  • DOI: https://doi.org/10.1007/BF01190780

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