Geodesic
Non-contradictory aggregations of relations of strict order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2018), pp. 71-85.

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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.
Mots-clés : collective choice, majority graph, aggregated relation, strict order, minimum distance, monotony, Pareto relation. 
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V. N. Nefyodov; V. A. Osipova; S. O. Smerchinskaya; N. P. Yashina. Non-contradictory aggregations of relations of strict order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2018), pp. 71-85. https://geodesic-test.mathdoc.fr/item/IVM_2018_5_a8/

[1] Mirkin B. G., Problema gruppovogo vybora, Nauka, M., 1974

[2] Errou K. Dzh., Kollektivnyi vybor i individualnye tsennosti, Per. s angl. pod red. F. T. Aleskerova, Izdatelskii dom GU-VShE, M., 2004

[3] Volskii V. I., Lezina Z. M., Golosovanie v malykh gruppakh: protsedury i metody sravnitelnogo analiza, Nauka, M., 1991

[4] Osipova V. A., Podinovskii V. V., Yashina N. P., “O neprotivorechivom rasshirenii otnoshenii predpochteniya v zadachakh prinyatiya reshenii”, Zhurn. vychisl. matem. i matem. fiz., 24:6 (1984), 831—839 | MR

[5] Aleskerov F., Monjardet B., Utility maximization. Choice and preference, Springer, Berlin, 2002 | MR

[6] Social choice theory. The Stanford encyclopedia, , 2013, First published Wed Dec 18 https://plato.stanford.edu/entries/social-choice/

[7] Osipova V. A., Kurs diskretnoi matematiki, Forum, M., 2013

[8] Smerchinskaya C. O., Yashina N. P., “Postroenie agregirovannogo otnosheniya predpochteniya na osnove nagruzhennogo mazhoritarnogo grafa”, Elektronnyi zhurnal Tr. MAI, 39 (2010)

[9] Shreider Yu. A., Ravenstvo, skhodstvo, poryadok, Nauka, M., 1971

[10] Smerchinskaya C. O., Yashina N. P., “Analiz kompetentnosti ekspertov v zadachakh gruppovogo vybora”, Informatsionnye i telekommunikatsionnye tekhnologii, 15 (2012), 103—115