UDC 004.827+519.87
SIMULATION OF INFORMATION DISSEMINATION PROCESSES
BASED ON DIFFUSION EQUATIONS WITH FUZZY TIME ACCOUNTING
Abstract. The paper considers an approach to formulating and finding solutions to scalar diffusion equations taking
into account the fuzzy perception of the flow of time in the processes of propagation of physical substances and information flows.
The description of an unconventional method of accounting for the passage of time 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.
Formalization of the fuzzy original is to define two functions, parametrically set on [0, 1],
that determine the rate of subjective perception of a unit of time.
The diffusion equation describing the dissemination of information in the social environment is proposed and analyzed.
A solution was obtained that determines the state of the propagation process taking into account the “fast” and “slow” flows of time.
The proposed methodology allows one to formalize the tasks of fuzzy description and taking into account the subjective perception
of time counting when solving various problems of dynamics.
Keywords: fuzzy time formalization, diffusion equations, information dissemination models.
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