Decision support systems

Numerical characteristics of random processes with fuzzy states

V. L. Khatskevich, O. A. Makhinova

Air Force Academy named after N.E. Zhukovsky and Yu. A. Gagarin, Voronezh, Russia

Abstract: In this paper, we study continuous random processes with fuzzy states. The properties of their numerical characteristics – expectations and correlation functions, – corresponding to the properties of the characteristics of numerical random processes are established. A canonical representation of fuzzy-random processes is introduced and investigated. Triangular fuzzy-random processes are considered as an application.

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

DOI: 10.14357/20718594230104

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