Methods of tropical optimization in rating alternatives based on pairwise comparisons

Николай Кимович Кривулин

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

Methods of tropical optimization in rating alternatives based on pairwise comparisons

Кафедра статистического моделирования

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

Аннотация

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.

Язык оригинала	английский
Название основной публикации	Operations Research Proceedings 2016
Подзаголовок основной публикации	Selected Papers of the Annual International Conference of the German Operations Research Society (GOR), Helmut Schmidt University Hamburg, Germany, August 30 - September 2, 2016
Редакторы	Andreas Fink, Armin Fügenschuh, Martin Josef Geiger
Место публикации	Cham
Издатель	Springer Nature
Страницы	85-91
Число страниц	7
ISBN (электронное издание)	978-3-319-55702-1
ISBN (печатное издание)	978-3-319-55701-4
DOI	https://doi.org/10.1007/978-3-319-55702-1_13
Состояние	Опубликовано - 2018
Событие	Annual International Conference of the German Operations Research Society: International Conference on Operations Research – Analytical Decision Making - Helmut-Schmidt-Universität / Universität der Bundeswehr Hamburg, Hamburg, Германия Продолжительность: 30 авг 2016 → 2 сен 2016 http://or2016.de/

Серия публикаций

Название	Operations Research Proceedings
Издатель	Springer
ISSN (печатное издание)	0721-5924
ISSN (электронное издание)	2197-9294

конференция

конференция	Annual International Conference of the German Operations Research Society
Сокращенный заголовок	OR 2016
Страна	Германия
Город	Hamburg
Период	30/08/16 → 2/09/16
Адрес в сети Интернет	http://or2016.de/

Предметные области Scopus

Теория оптимизации
Теория управления и исследование операций
Алгебра и теория чисел

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

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Annual International Conference of the German Operations Research Society
Николай Кимович Кривулин (Участник)
30 июн 2016 → 2 сен 2016
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Цитировать

Кривулин, Н. К. (2018). Methods of tropical optimization in rating alternatives based on pairwise comparisons. В A. Fink, A. Fügenschuh, & M. J. Geiger (Ред.), 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 (стр. 85-91). (Operations Research Proceedings). Springer Nature. https://doi.org/10.1007/978-3-319-55702-1_13

Кривулин, Николай Кимович. / Methods of tropical optimization in rating alternatives based on pairwise comparisons. 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. редактор / Andreas Fink ; Armin Fügenschuh ; Martin Josef Geiger. Cham : Springer Nature, 2018. стр. 85-91 (Operations Research Proceedings).

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Кривулин, НК 2018, Methods of tropical optimization in rating alternatives based on pairwise comparisons. в A Fink, A Fügenschuh & MJ Geiger (ред.), 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. Operations Research Proceedings, Springer Nature, Cham, стр. 85-91, Annual International Conference of the German Operations Research Society, Hamburg, Германия, 30/08/16. https://doi.org/10.1007/978-3-319-55702-1_13

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. ред. / Andreas Fink; Armin Fügenschuh; Martin Josef Geiger. Cham : Springer Nature, 2018. стр. 85-91 (Operations Research Proceedings).

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

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Кривулин НК. Methods of tropical optimization in rating alternatives based on pairwise comparisons. В Fink A, Fügenschuh A, Geiger MJ, редакторы, 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. Cham: Springer Nature. 2018. стр. 85-91. (Operations Research Proceedings). https://doi.org/10.1007/978-3-319-55702-1_13