Transitive approximation to pairwise comparison matrices by using interval goal programming

J González-Pachón (), M I Rodríguez-Galiano and C Romero ()
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J González-Pachón: Technical University of Madrid
M I Rodríguez-Galiano: Technical University of Madrid
C Romero: Technical University of Madrid

Journal of the Operational Research Society, 2003, vol. 54, issue 5, 532-538

Abstract: Abstract Paired comparison is a very popular method for establishing the relative importance of n objects, when they cannot be directly rated. The challenge faced by the pairwise comparison method stems from some missing properties in its associated matrix. In this paper, we focus on the following general problem: given a non-reciprocal and inconsistent matrix computing intransitivities, what is its associated ranking (defined by importance values)? We propose to use inconsistencies as a source of information for obtaining importance values. For this purpose, a methodology with a decomposition and aggregation phase is proposed. Interval Goal Programming will be a useful tool for implementing the aggregation process defined in the second phase.

Keywords: pairwise comparisons; transitivity; reciprocity; interval goal programming (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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DOI: 10.1057/palgrave.jors.2601542

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