The paper presents second author’s step toward building quite new theory of fuzzy signals. Before, in the first step author defined fuzzy Fourier transform. Here, an approach to description of fuzzy correlation functions is proposed. New definitions, called later fuzzy correlation and defuzzified correlation are proposed for fuzzy signals. The definitions are based on new concepts of the class L \(_{f}^{\rm 2}\), L \(_{Tf}^{\rm 2}\), and class M f for fuzzy functions. Comparison with conventional approach and an example are shown.


Correlation Function Membership Function Scalar Product Autocorrelation Function Signal Theory 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Bohdan S. Butkiewicz
    • 1
  1. 1.Warsaw University of TechnologyWarsawPoland

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