Fourier Series defined in a Hilbert Space of Fuzzy Numbers

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Abstract

An introductory investigation of Fourier series with fuzzy coefficients is conducted in this study. A structure of Hilbert space is provided throughout an identification of the convergent square summable real sequences into a set generated by an enumerable family of strongly linearly independent subsets of fuzzy numbers. An application to a signal processing model with the fuzzy Fourier series approximation of the square wave is presented.

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Programme
11:30 to 12:30 on 09/19/2025
Sala 308
Institutions
  • 1 Institute of Mathematics, Statistics and Scientific Computing - University of Campinas
  • 2 Universidade Federal de Uberlândia
Track
  • ST11 - Numerical Methods
Keywords
Space of square summable real sequences
Strong linear independence
Hilbert space of fuzzy numbers
Fuzzy Fourier series