Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (436 kB) Citations (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/ivm9791
  • https://www.mathnet.ru/eng/ivm/y2022/i7/p30
    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:98
    Full-text PDF :48
    References:28
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024