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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 583–592 (Mi zvmmf481)  
This article is cited in 6 scientific papers (total in 6 papers)

The Edgeworth–Pareto principle in terms of a fuzzy choice function

V. D. Nogin

St. Petersburg State University, Universitetskii pr. 28, Petrodvorets, St. Petersburg, 198504, Russia
Full-text PDF (1471 kB) Citations (6)
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Abstract: The Edgeworth–Pareto Principle, the simplest version of which has been known since the 19th century, is stated in general terms of a fuzzy choice function. The application of the principle is justified for a wide class of fuzzy multicriteria choice problems described by certain axioms of the rational behavior. These results bring the axiomatic substantiation of the Edgeworth–Pareto principle performed previously by the author to the most general form and make it possible to reveal the boundaries of that class of multicriteria choice problems for which the application of this principle is required. Based on scalarization methods as applied to multicriteria problems, upper bounds are derived for the unknown set of selected vectors.
Key words: Edgeworth–Pareto principle, fuzzy choice functions, axiomatic substantiation, multicriteria problems.
Received: 31.10.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 4, Pages 554–562
DOI: https://doi.org/10.1134/S096554250604004X
Bibliographic databases:
Document Type: Article
UDC: 519.859
Language: Russian
Citation: V. D. Nogin, “The Edgeworth–Pareto principle in terms of a fuzzy choice function”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 583–592; Comput. Math. Math. Phys., 46:4 (2006), 554–562
Citation in format AMSBIB
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\by V.~D.~Nogin
\paper The Edgeworth--Pareto principle in terms of a~fuzzy choice function
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 4
\pages 583--592
\mathnet{http://mi.mathnet.ru/zvmmf481}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2260350}
\zmath{https://zbmath.org/?q=an:05200929}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 4
\pages 554--562
\crossref{https://doi.org/10.1134/S096554250604004X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746033720}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:46
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