On dominance and dispersion of a class of weighting lists

  • Authors:
  • Tomasa Calvo;Javier Martín;Gaspar Mayor;Jaume Suñer

  • Affiliations:
  • University of the Balearic Islands, Dept. of Mathematics and Computer Science, 07071-Palma de Mallorca, Spain;University of the Balearic Islands, Dept. of Mathematics and Computer Science, 07071-Palma de Mallorca, Spain;University of the Balearic Islands, Dept. of Mathematics and Computer Science, 07071-Palma de Mallorca, Spain;University of the Balearic Islands, Dept. of Mathematics and Computer Science, 07071-Palma de Mallorca, Spain

  • Venue:
  • Technologies for constructing intelligent systems
  • Year:
  • 2002

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Abstract

The class of weighting lists with a prefixed minimum and maximum values is studied. It is introduced the concept of degree of Dominance of a weighting list as a generalization of the degree of Orness. It is proved that, with good conditions, there always exist two unique lists with minimum and maximum dominance respectively. From the concepts of dominance and dispersion, it is solved the problem of obtaining the weighting list in the class considered here of maximum dispersion with a given degree of dominance.