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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 2, Pages 207–212
DOI: https://doi.org/10.7868/S0044466915020040
(Mi zvmmf10151)
 

This article is cited in 2 scientific papers (total in 2 papers)

Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone

O. V. Baskov

St. Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia
Full-text PDF (193 kB) Citations (2)
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Abstract: The problem of finding the generatrix lines of a fuzzy cone that is dual to a given finitely generated fuzzy cone is studied. Given the generatrix lines of mutually dual fuzzy cones, one or several generatrix lines are added to one of them. An algorithm for finding the generatrix lines of its dual fuzzy cone is described. The algorithm can be applied to multicriteria optimization problems.
Key words: fuzzy set theory, fuzzy cone, algorithm for finding generatrix lines of the dual of a fuzzy cone, multicriteria optimization.
Funding agency Grant number
Russian Foundation for Basic Research 11-07-00449
Received: 08.11.2013
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 2, Pages 206–211
DOI: https://doi.org/10.1134/S0965542515020049
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: O. V. Baskov, “Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015), 207–212; Comput. Math. Math. Phys., 55:2 (2015), 206–211
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v55/i2/p207
  • This publication is cited in the following 2 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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    Abstract page:214
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    References:42
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