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Modeling of Information Dissemination Processes Based on Diffusion Equations with Fuzzy Time Accounting

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Cybernetics and Systems Analysis Aims and scope

Abstract

The paper considers an approach to formulating and finding solutions to scalar diffusion equations taking into account the fuzzy perception of the timeflow in the processes of propagation of physical substances and information flows. The description of an unconventional method of time accounting is based on the use of fuzzy structured numerical sets, which is based on the principle of forming a fuzzy original with its subsequent replication on the numerical axis. The formalization of the fuzzy original is to define two functions parametrically set on the interval [0, 1] that determine the rate of the subjective perception of a time unit. The diffusion equation describing the information dissemination in the social environment is proposed and analyzed. A solution is obtained that determines the state of the propagation process taking into account the “fast” and “slow” time flows. The proposed methodology allows us to formalize the problem of fuzzy description taking into account the subjective perception of time accounting when solving various dynamics problems.

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    E. V. Ivohin, O. F. Voloshyn & M. F. Makhno

Authors
  1. E. V. Ivohin
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  2. O. F. Voloshyn
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  3. M. F. Makhno
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Correspondence to E. V. Ivohin.

Additional information

Translated from Kibernetyka ta Systemnyi Analiz, No. 6, November–December, 2021, pp. 61–71.

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Ivohin, E.V., Voloshyn, O.F. & Makhno, M.F. Modeling of Information Dissemination Processes Based on Diffusion Equations with Fuzzy Time Accounting. Cybern Syst Anal 57, 896–905 (2021). https://doi.org/10.1007/s10559-021-00416-z

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