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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 5, Pages 802–813 (Mi zvmmf9333)  
This article is cited in 10 scientific papers (total in 10 papers)

Bilinear optimization in the analysis of multicriteria problems using criteria importance theory under inexact information about preferences

A. P. Nelyubina, V. V. Podinovskiib

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700 Russia
b State University–Higher School of Economics, Laboratory DECAN, Pokrovskii bulv. 11, Moscow, 109028 Russia
Full-text PDF (425 kB) Citations (10)
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Abstract: Exact efficient numerical methods are proposed for solving bilinear optimization problems that arise when various solution variants are compared based on their preferability using an additive value function in the case of interval estimates of the degrees of superiority of certain criteria over others and in the case of interval restrictions on the growth of preferences along the criteria range.
Key words: multicriteria decision making problems, criteria importance theory, additive value function, uncertainty of coefficients of criteria importance and values of scale estimates.
Received: 29.04.2010
Revised: 21.06.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 5, Pages 751–761
DOI: https://doi.org/10.1134/S0965542511050113
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: A. P. Nelyubin, V. V. Podinovskii, “Bilinear optimization in the analysis of multicriteria problems using criteria importance theory under inexact information about preferences”, Zh. Vychisl. Mat. Mat. Fiz., 51:5 (2011), 802–813; Comput. Math. Math. Phys., 51:5 (2011), 751–761
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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