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

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

NAVAL RESEARCH LOGISTICS, cilt.61, ss.155-163, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 61 Konu: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1002/nav.21573
  • Sayfa Sayıları: ss.155-163


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