Methods of tropical optimization in rating alternatives based on pairwise comparisons

Research outputpeer-review

Abstract

We apply methods of tropical optimization to handle problems of rating alternatives on the basis of the log-Chebyshev approximation of pairwise comparison matrices. We derive a direct solution in a closed form, and investigate the obtained solution when it is not unique. Provided the approximation problem yields a set of score vectors, rather than a unique (up to a constant factor) one, we find those vectors in the set, which least and most differentiate between the alternatives with the highest and lowest scores, and thus can be representative of the entire solution.
Original languageEnglish
Title of host publicationOperations Research Proceedings 2016
Subtitle of host publicationSelected Papers of the Annual International Conference of the German Operations Research Society (GOR), Helmut Schmidt University Hamburg, Germany, August 30 - September 2, 2016
EditorsAndreas Fink, Armin Fügenschuh, Martin Josef Geiger
Place of PublicationCham
PublisherSpringer Nature
Pages85-91
Number of pages7
ISBN (Electronic)978-3-319-55702-1
ISBN (Print)978-3-319-55701-4
DOIs
Publication statusPublished - 2018
EventAnnual International Conference of the German Operations Research Society: International Conference on Operations Research – Analytical Decision Making - Helmut-Schmidt-Universität / Universität der Bundeswehr Hamburg, Hamburg
Duration: 30 Aug 20162 Sep 2016
http://or2016.de/

Publication series

NameOperations Research Proceedings
PublisherSpringer
ISSN (Print)0721-5924
ISSN (Electronic)2197-9294

Conference

ConferenceAnnual International Conference of the German Operations Research Society
Abbreviated titleOR 2016
CountryGermany
CityHamburg
Period30/08/162/09/16
Internet address

Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Algebra and Number Theory

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