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We describe a new approach based on tropical optimization techniques to solve the problem of rating alternatives from pairwise comparison data.
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T. L. Saaty and L. G. Vargas · 1984
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Method of paired comparisons
H. David · 1988
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Deriving weights from pairwise comparison matrices
J. Barzilai · 1997
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Idempotent Analysis and Its Applications
V. N. Kolokoltsov and V. P. Maslov · 1997
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On the optimal consistent approximation to pairwise comparison matrices
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Consistency adjustments for pairwise comparison matrices
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Transitive approximation to pairwise comparison matrices by using interval goal programming
J. Gonzalez-Pachon, M. I. Rodriguez-Galiano, and C. Romero · 2003
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L. Elsner and P. van den Driessche · 2004
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The analytic hierarchy process, max algebra and multi-objective optimisation
B. B. Gursoy, O. Mason, and S. Sergeev · 2012
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Pairwise ranking: Choice of method can produce arbitrarily different rank order
N. M. Tran · 2012
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N. Krivulin · 2013
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On the measurement of intangibles: A principal eigenvector approach to relative measurement derived from paired comparisons
T. L. Saaty · 2013
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A constrained tropical optimization problem: Complete solution and application example
N. Krivulin · 2014
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