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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2025 Volume 17, Issue 2, Pages 138–151 (Mi ufa734)

Krause mean processes generated by cubic stochastic matrices with positive influences

Kh. Saburova, Kh. Saburovb, M. Alpc

a Kimyo International University in Tashkent, Usman Nasir Str. 156, 100121, Tashkent, Uzbekistan
b University of Tashkent for Applied Sciences, Gavkhar Str. 1, Chilanzar District, 100149, Tashkent, Uzbekistan
c College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait

Abstract: The Krause mean process serves as a comprehensive model for the dynamics of opinion exchange within multi–agent system wherein opinions are represented as vectors. In this paper, we propose a framework for opinion exchange dynamics by means of the Krause mean process that is generated by a cubic doubly stochastic matrix with positive influences. The primary objective is to establish a consensus within the multi–agent system.

Keywords: multi–agent system, consensus, Krause mean process, cubic stochastic matrix, quadratic operator.

MSC: 93A16, 93D50, 91D30, 93C10

Received: 29.10.2023

Language: English


 English version:
Ufa Mathematical Journal, 2025, 17:2, 135–148


© Steklov Math. Inst. of RAS, 2025