Constructing a strict total order for alternatives characterized by multiple criteria: An extension

Dehnokhalaji A., Korhonen P. J., Koksalan M., Nasrabadi N., Ozturk D., Wallenius J.

NAVAL RESEARCH LOGISTICS, vol.61, no.2, pp.155-163, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.1002/nav.21573
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.155-163
  • Hacettepe University Affiliated: No


The problem of finding a strict total order for a finite set of multiple criteria alternatives is considered. Our research extends previous work by us, which considered finding a partial order for a finite set of alternatives. We merge the preference information extracted from the preference cones and corresponding polyhedral sets, with the information derived from pairwise comparisons of two alternatives, yielding a preference matrix. This preference matrix is used as input to an integer programming model to obtain a strict total order that provides a transitive ranking for the set of alternatives. (c) 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 155-163, 2014