Krause Mean Processes Generated by Cubic Stochastic Matrices with Positive Influences

Authors

  • Kh. Saburov
    Kimyo International University in Tashkent
  • Kh. Saburov
    University of Tashkent for Applied Sciences
  • M. Alp
    American University of the Middle East

DOI:

https://doi.org/10.13108/2025-17-2-135

Keywords:

Multi-agent system, consensus, Krause mean process, cubic stochastic matrix, quadratic stochastic operator

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.

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Published

19.05.2025