Continuous Processes with Fuzzy States and Their Applications

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Abstract

Scalar characteristics of continuous processes with fuzzy states—mean and correlation functions—are introduced and studied. Their algebraic properties as well as some properties related to the differentiation and integration of fuzzy functions of a real argument are established. The dependence between the characteristics of a fuzzy signal at the input and output of a dynamic system described by a high-order differential equation with constant coefficients is shown.

About the authors

V. L. Khatskevich

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

Author for correspondence.
Email: vlkhats@mail.ru
Voronezh, Russia

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