Fourier Series defined in a Hilbert Space of Fuzzy Numbers
DOI:
https://doi.org/10.5540/03.2026.012.01.0290Palavras-chave:
Space of Square Summable Real Sequences, Strong Linear Independence, Hilbert Space of Fuzzy Numbers, Fuzzy Fourier SeriesResumo
This study conducts an introductory investigation of the Fourier series with fuzzy coefficients. 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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Referências
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