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Multi-argument distances and regular sum-based multidistances


  • Franco Molinari


In this paper we consider the family of multi-argument functions called multidistances, introduced in some recent papers by J.Martin and G.Mayor, which extend to n-dimensional ordered lists of elements the usual concept of distance between a couple of points in a metric space. In particular Martin and Mayor investigated three classes of multidistances, that is Fermat, sum-based and OWA-based multidistances.In this note we focus our attention on a specific property of multidistances, i.e. regularity, and we provide an alternative proof about the regularity of the sum-based multidistances.

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  • Franco Molinari, 2011. "Multi-argument distances and regular sum-based multidistances," DISA Working Papers 2011/04, Department of Computer and Management Sciences, University of Trento, Italy, revised 24 Jul 2011.
  • Handle: RePEc:trt:disawp:2011/04

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    distance; multidistance; regularity; sum-based multidistances;

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