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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 8, Pages 1390–1399
(Mi zvmmf9521)
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This article is cited in 2 scientific papers (total in 2 papers)
The method of medians in the problem of ranking interval objects specified by three points
I. F. Shakhnov Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Abstract:
A method for ranking interval objects is proposed and analyzed; the characteristics of those objects are represented by pessimistic, optimistic, and most probable estimates. The method is based on the approximation of the binary probability preference relation by the binary median preference relation. The method is verified using statistical modeling (the Monte Carlo method). The proposed approach can be used for ranking nonreusable and reusable objects.
Key words:
ranking, interval objects, binary preference relation, mathematical expectation, median, probability, triangular distribution, superiority relation.
Received: 09.11.2010 Revised: 11.03.2011
Citation:
I. F. Shakhnov, “The method of medians in the problem of ranking interval objects specified by three points”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011), 1390–1399; Comput. Math. Math. Phys., 51:8 (2011), 1299–1306
Linking options:
https://www.mathnet.ru/eng/zvmmf9521 https://www.mathnet.ru/eng/zvmmf/v51/i8/p1390
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