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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 8, Pages 1390–1399 (Mi zvmmf9521)  

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
Full-text PDF (321 kB) Citations (2)
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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
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 8, Pages 1299–1306
DOI: https://doi.org/10.1134/S0965542511080161
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
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
Citation in format AMSBIB
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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