Fuzzy-based local fractional Fourier series using fuzzy numbers

In this article, the fuzzy local fractional Fourier series is introduced by using the triangular, trapezoidal fuzzy number within the interval [−l, l] on the real axis ℜ and these fuzzy numbers are applied to examine the symmetry of the periodic local fractional Fourier series and satisfy the periodic function of fuzzy local fractional coefficients for real numbers.