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Artificial Intelligence and Decision Making, 2020, Issue 2, Pages 51–62
DOI: https://doi.org/10.14357/20718594200204 (Mi iipr134) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Decision analysis

The Edgeworth–Pareto principle in the case of a 2-type fuzzy preference relation summary

O. V. Baskov, V. D. Nogin

Saint Petersburg State University, St. Petersburg, Russia
Full-text PDF (706 kB) Citations (1)
DOI: https://doi.org/10.14357/20718594200204
Abstract: The Edgeworth–Pareto principle is extended to the class of multicriteria choice problems, in which the preference relation of the decision maker is described by a fuzzy binary relation of the type 2. The necessary condition for its fulfillment is the adoption of two assumptions – Pareto axiom and axiom of exclusion of dominant variants. Brief information about fuzzy sets and relations of types 1 and 2 precedes the main results of the paper. In order to justify the Edgeworth–Pareto principle a fuzzy set of nondominated variants is introduced in the case of a 2-type fuzzy preference relation.
Keywords: multicriteria choice, axiomatic approach, Edgeworth–Pareto principle, Pareto set reduction, fuzzy relation type 2.
Funding agency Grant number
Russian Foundation for Basic Research 20-07-00298а
English version:
Scientific and Technical Information Processing, 2021, Volume 48, Issue 5, Pages 299–307
DOI: https://doi.org/10.3103/S0147688221050014
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Baskov, V. D. Nogin, “The Edgeworth–Pareto principle in the case of a 2-type fuzzy preference relation summary”, Artificial Intelligence and Decision Making, 2020, no. 2, 51–62; Scientific and Technical Information Processing, 48:5 (2021), 299–307
Citation in format AMSBIB
\Bibitem{BasNog20}
\by O.~V.~Baskov, V.~D.~Nogin
\paper The Edgeworth--Pareto principle in the case of a 2-type fuzzy preference relation summary
\jour Artificial Intelligence and Decision Making
\yr 2020
\issue 2
\pages 51--62
\mathnet{http://mi.mathnet.ru/iipr134}
\crossref{https://doi.org/10.14357/20718594200204}
\elib{https://elibrary.ru/item.asp?id=43023331}
\transl
\jour Scientific and Technical Information Processing
\yr 2021
\vol 48
\issue 5
\pages 299--307
\crossref{https://doi.org/10.3103/S0147688221050014}
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  • https://www.mathnet.ru/eng/iipr/y2020/i2/p51
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Artificial Intelligence and Decision Making
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    References:1
     
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