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

Dehnokhalaji, Akram
Korhonen, Pekka J.
Köksalan, Mustafa Murat
Nasrabadi, Nasim
Ozturk, Diclehan Tezcaner
Wallenius, Jyrki
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