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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 7, Pages 30–43
DOI: https://doi.org/10.26907/0021-3446-2022-7-30-43 (Mi ivm9791) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Aggregation of strict order fuzzy relations

S. O. Smerchinskaya, N. P. Yashina

Moscow Aviation Institute (National Research University), 4 Volokolamskoe shosse, Moscow, A-80, GSP-3, 125993 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-7-30-43
Abstract: The problem of finding a collective solution is considered when specifying the profile of expert preferences by fuzzy relations of strict order. Non-contradictory aggregated relation is built on the basis of a digraph of a fuzzy relation, the matrix of which consists of the arithmetic mean values of the elements of the matrices of fuzzy preferences of experts. The aggregated relation is also a fuzzy strict order and satisfies the requirements for collective decisions: minimal distance to expert preferences and non-contradictory. Algorithms that implement operations with fuzzy relations are proposed.
Keywords: collective choice, fuzzy preference relation, fuzzy relation digraph, strict order, minimum distance.
Received: 27.08.2021
Revised: 27.08.2021
Accepted: 23.12.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 7, Pages 25–37
DOI: https://doi.org/10.3103/S1066369X22070088
Document Type: Article
UDC: 519.816
Language: Russian
Citation: S. O. Smerchinskaya, N. P. Yashina, “Aggregation of strict order fuzzy relations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 7, 30–43; Russian Math. (Iz. VUZ), 66:7 (2022), 25–37
Citation in format AMSBIB
\Bibitem{SmeYas22}
\by S.~O.~Smerchinskaya, N.~P.~Yashina
\paper Aggregation of strict order fuzzy relations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 7
\pages 30--43
\mathnet{http://mi.mathnet.ru/ivm9791}
\crossref{https://doi.org/10.26907/0021-3446-2022-7-30-43}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 7
\pages 25--37
\crossref{https://doi.org/10.3103/S1066369X22070088}
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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