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Fuzzy analog and discrete time invariant systems

Some basic properties of analog and discrete time-invariant systems with lumped fuzzy parameters are presented. It was assumed that parameters are fuzzy numbers. Description of the system is given in time and frequency domain. It was shown that amplitude and phase response of the system is fuzzy number for any frequency. Two ways of calculation of output signal are proposed. First method is based on the concept of fuzzy convolution. Second method uses idea of Fourier transform of fuzzy function proposed earlier by the author. Similar discussion was pursued for discrete systems.