Chaotic results of multidimensional ordinal measurements

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

Multidimensional ordinal measurement in a form of problem of a single consensus ranking determination for m rankings of n alternatives is considered in the paper. The Kemeny rule is one of deeply justified ways to solve the problem allowing to find such a linear order (Kemeny ranking) of alternatives that a distance (defined in terms of a number of pair-wise disagreements between rankings) from it to the initial rankings is minimal. But computational experiments outcomes show that the approach can give considerably more than one optimal solutions what argues instability of the measurement procedure. Hence, special efforts to avoid this phenomenon are needed.

Original languageEnglish
Title of host publication20th IMEKO World Congress 2012
Pages2071-2074
Number of pages4
Volume3
Publication statusPublished - 2012
Event20th IMEKO World Congress 2012 - Busan, Korea, Republic of
Duration: 9 Sep 201214 Sep 2012

Other

Other20th IMEKO World Congress 2012
CountryKorea, Republic of
CityBusan
Period9.9.1214.9.12

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Keywords

  • Consensus relation
  • Kemeny ranking problem
  • Multiple optimal solutions
  • Ordinal scale measurement

ASJC Scopus subject areas

  • Computer Science Applications
  • Environmental Engineering
  • Biomedical Engineering

Cite this

Muravyov, S. (2012). Chaotic results of multidimensional ordinal measurements. In 20th IMEKO World Congress 2012 (Vol. 3, pp. 2071-2074)