Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
Methods of tropical optimization in rating alternatives based on pairwise comparisons. / Кривулин, Николай Кимович.
Operations Research Proceedings 2016: Selected Papers of the Annual International Conference of the German Operations Research Society (GOR), Helmut Schmidt University Hamburg, Germany, August 30 - September 2, 2016. ed. / Andreas Fink; Armin Fügenschuh; Martin Josef Geiger. Cham : Springer Nature, 2018. p. 85-91 (Operations Research Proceedings).Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
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TY - CHAP
T1 - Methods of tropical optimization in rating alternatives based on pairwise comparisons
AU - Кривулин, Николай Кимович
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
UR - https://arxiv.org/abs/1608.02666
U2 - 10.1007/978-3-319-55702-1_13
DO - 10.1007/978-3-319-55702-1_13
M3 - Chapter
SN - 978-3-319-55701-4
T3 - Operations Research Proceedings
SP - 85
EP - 91
BT - Operations Research Proceedings 2016
A2 - Fink, Andreas
A2 - Fügenschuh, Armin
A2 - Geiger, Martin Josef
PB - Springer Nature
CY - Cham
T2 - Annual International Conference of the German Operations Research Society
Y2 - 30 August 2016 through 2 September 2016
ER -
ID: 32858917