Fuzzy approach to Fourier transform

Bohdan S. Butkiewicz · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2006

The paper presents a new approach to description of Fourier transform taking in consideration uncertainty of transformed function. Conventional approach to uncertainty use probabilistic description. Here, fuzzy logic theory is applied to describe this uncertainty. A new definition, called later Fuzzy Fourier Transform is proposed. Some examples of application are shown.

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