On Some Connections between Multidistances and Valued m-ary Adjacency Relations

  • Matteo Brunelli
  • Mario Fedrizzi
  • Michele Fedrizzi
  • Franco Molinari
Part of the Communications in Computer and Information Science book series (CCIS, volume 297)


This paper studies the relationship between multidistances and valued m-ary adjacency relations in the framework of consensus evaluation in Social Network Analysis, SNA. We show that m-ary adjacency relations can be modelled on the basis of OWA-based multidistances and some consensus related optimization problems on m-ary adjacency relations are equivalent to correspondent multidistance minimization problems. Finally, some characteristics of a new multidistance are discussed.


multidistance adjacency relation consensus 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Matteo Brunelli
    • 1
  • Mario Fedrizzi
    • 2
  • Michele Fedrizzi
    • 2
  • Franco Molinari
    • 2
  1. 1.IAMSR, Åbo Akademi UniversityÅboFinland
  2. 2.Department of Computer and Management SciencesUniversity of TrentoTrentoItaly

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