IDEAS home Printed from https://ideas.repec.org/p/trt/disawp/2011-04.html
   My bibliography  Save this paper

Multi-argument distances and regular sum-based multidistances

Author

Listed:
  • Franco Molinari

Abstract

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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.unitn.it/files/download/13980/4_2011.pdf
    Download Restriction: no

    More about this item

    Keywords

    distance; multidistance; regularity; sum-based multidistances;

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:trt:disawp:2011/04. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Roberto Gabriele). General contact details of provider: http://edirc.repec.org/data/ditreit.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.