About arithmetic-geometric multidistances

Franco Molinari

No 2011/07, DISA Working Papers from Department of Computer and Management Sciences, University of Trento, Italy

Abstract: In a previous paper (see [7] ) we considered the family of multi-argument functions called multidistances, introduced in some recent papers (see [1]-[6]) 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 introduce a new family of multidistance functions, which are a generalization of the sum-based multidistances and we call them arithmetic-geometric multidistances

Keywords: Multidistance; sum-based multidistances; arithmetic-geometric multidistances. (search for similar items in EconPapers)
Pages: 14 pages
Date: 2011-07, Revised 2011-07-29
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