Methods of Tropical Optimization in Rating Alternatives Based on Pairwise Comparisons

Nikolai Krivulin ()
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Nikolai Krivulin: St. Petersburg State University

A chapter in Operations Research Proceedings 2016, 2018, pp 85-91 from Springer

Abstract: Abstract We apply methods of tropical optimization to handle problems of rating alternatives on the basis of the log-Chebyshev approximation of pairwise comparison matrices. We derive a direct solution in a closed form, and investigate the obtained solution when it is not unique. Provided the approximation problem yields a set of score vectors, rather than a unique (up to a constant factor) one, we find those vectors in the set, which least and most differentiate between the alternatives with the highest and lowest scores, and thus can be representative of the entire solution.

Keywords: Tropical Optimization; Alternative Evaluation; Pairwise Comparison Matrices; Score Vector; Represent Optimization Problems (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-319-55702-1_13

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DOI: 10.1007/978-3-319-55702-1_13

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