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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 5, Pages 71–85 (Mi ivm9360)  
This article is cited in 10 scientific papers (total in 10 papers)

Non-contradictory aggregations of relations of strict order

V. N. Nefyodov, V. A. Osipova, S. O. Smerchinskaya, N. P. Yashina

Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, Moscow, 125993 Russia
Full-text PDF (243 kB) Citations (10)
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Abstract: We consider a problem of collective choice. The profile of experts' individual preferences is given by relations of strict order. Nonconflicting aggregated relation is based on the weighted majority graph characterizing the degree of superiority of one alternative over another. Aggregated relation is also a strict order and complies to the requirements to group decisions: the monotony, the minimality of distance to the expert preferences, adherence the Pareto relation.
Keywords: collective choice, majority graph, aggregated relation, strict order, minimum distance, monotony, Pareto relation.
Received: 13.03.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 5, Pages 61–73
DOI: https://doi.org/10.3103/S1066369X18050092
Bibliographic databases:
Document Type: Article
UDC: 519.816
Language: Russian
Citation: V. N. Nefyodov, V. A. Osipova, S. O. Smerchinskaya, N. P. Yashina, “Non-contradictory aggregations of relations of strict order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 5, 71–85; Russian Math. (Iz. VUZ), 62:5 (2018), 61–73
Citation in format AMSBIB
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\paper Non-contradictory aggregations of relations of strict order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 5
\pages 71--85
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 5
\pages 61--73
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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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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