An approach to description of fuzzy filters
Bohdan S. Butkiewicz · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2009
Linear time invariant system with fuzzy parameters is considered. The concept of fuzzy transfer function is discussed. The problem is closely related to the question how to apply fuzzy techniques to such systems. In system theory Fourier transform, convolution operation and correlation function are frequently used. Generally, filters are described in two ways: in time domain, by impulse or step response, and in frequency domain, by amplitude and phase frequency response. In the paper, linear filters with fuzzy parameters using fuzzy convolution operation and fuzzy Fourier transform are analyzed. The approach is compared with conventional one. Herein, some examples of fuzzy filters for image applications are presented.