An Approach to Theory of Fuzzy Discrete Signals

  • Bohdan S. Butkiewicz
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4529)


The paper presents an approach to description of fuzzy discrete functions and Fourier transform of such functions taking in consideration their uncertainty. Conventional approach to uncertainty employs probabilistic description. Here, fuzzy logic theory is applied to describe this uncertainty. A definition of transform, called later Discrete Fuzzy Fourier Transform and definition of Inverse Discrete Fuzzy Fourier Transform are proposed. Some properties of such transformations and examples of applications and comparison with conventional approach are shown.


Membership Function Fuzzy Number Discrete Fourier Transform Fuzzy Approach Fuzzy Function 
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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Bohdan S. Butkiewicz
    • 1
  1. 1.Warsaw University of Technology, WarsawPoland

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