This article is cited in 4 papers

Stochastic Systems

On continuous random processes with fuzzy states

V. L. Khatskevich

Military Training and Research Center of the Air Force, Air Force Academy named after N.E. Zhukovsky and Yu.A. Gagarin, Voronezh, Russia

Abstract: Continuous random processes with fuzzy states are studied. The properties of their numerical characteristics (expectations and correlation functions) corresponding to those of numerical random processes are established. The results obtained are based on the properties of fuzzy random variables. Applications to the problem of transforming a random signal with fuzzy states by a linear dynamic system are considered.

Keywords: continuous random processes, fuzzy states, fuzzy expectations, correlation functions.

Presented by the member of Editorial Board: A. I. Kibzun

Received: 03.08.2022
Revised: 12.01.2023
Accepted: 30.03.2023

DOI: 10.31857/S0005231023070024

 English version: Automation and Remote Control, 2023, 84:7, 687–698