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Matematicheskie Zametki, 2023, Volume 114, Issue 2, paper published in the English version journal (Mi mzm13709)  

This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

Krause Mean Processes Generated by Cubic Stochastic Diagonally Primitive Matrices

Kh. Kh. Saburovab

a Kimyo International University in Tashkent, Uzbekistan
b Ajou University in Tashkent, Uzbekistan
Citations (1)
Abstract: A multi-agent system is a system of multiple interacting entities, known as intelligent agents, who possibly have different information and/or diverging interests. The agents could be robots, humans, or human teams. Opinion dynamics is a process of individual opinions in which a group of interacting agents continuously fuse their opinions on the same issue based on established rules to reach a consensus at the final stage. Historically, the idea of reaching consensus through repeated averaging was introduced by DeGroot for a structured time-invariant and synchronous environment. Since then, consensus, which is the most ubiquitous phenomenon of multi-agent systems, has become popular in various scientific fields such as biology, physics, control engineering, and social science. To some extent, a Krause mean process is a general model of opinion sharing dynamics in which the opinions are represented by vectors. In this paper, we represent opinion sharing dynamics by means of Krause mean processes generated by diagonally primitive cubic doubly stochastic matrices, and then we establish a consensus in the multi-agent system.
Keywords: multi-agent system, consensus, Krause mean process, cubic stochastic matrix, quadratic operator.
Received: 31.08.2022
English version:
Mathematical Notes, 2023, Volume 114, Issue 2, Pages 250–264
DOI: https://doi.org/10.1134/S000143462307026X
Bibliographic databases:
Document Type: Article
Language: English
Citation: Kh. Kh. Saburov, “Krause Mean Processes Generated by Cubic Stochastic Diagonally Primitive Matrices”, Math. Notes, 114:2 (2023), 250–264
Citation in format AMSBIB
\Bibitem{Sab23}
\by Kh.~Kh.~Saburov
\paper Krause Mean Processes Generated by Cubic Stochastic Diagonally Primitive Matrices
\jour Math. Notes
\yr 2023
\vol 114
\issue 2
\pages 250--264
\mathnet{http://mi.mathnet.ru/mzm13709}
\crossref{https://doi.org/10.1134/S000143462307026X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4632450}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85168579883}
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  • 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
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