Marc Barbut au pays des médianes

Bernard Monjardet

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: The notion of median originally appeared in Statistics was introduced more later in Algebra and Combinatorics. Marc Barbut was the first to develop the link between these two notions of median. I present his precursory works linking the metric medians and the algebraic medians of a distributive lattice and using these links within the framework of the "median procedure" in data analysis. I also give a short survey on the development of the - more general - theory of "median spaces" and I mention some problems about the median procedure.

Keywords: Distributive lattice; majority relation; median graph; median procedure; median semilattice; metric space; Demi-treillis à médianes; espace métrique; graphe à médianes; procédure médiane; relation majoritaire; treillis distributif (search for similar items in EconPapers)
Date: 2013-04
New Economics Papers: this item is included in nep-hpe
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Published in 2013

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Working Paper: Marc Barbut au pays des médianes (2013)
Working Paper: Marc Barbut au pays des médianes (2013)
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