Fourier analysis is the way of study to represent and approximate the general functions by sums of simpler trigonometric functions. The area of fourier analysis was founded on the idea of the Fourier Series. In terms of sines and cosines, it is an infinite expansion of a function. The Fourier Series is particularly important in the domains of electronics, quantum physics, and electrodynamics. Generally, it is not always necessary that the data obtained from the experimental results from these fields is precise. In order to handle the uncertainty with seventeen distinct points, we constructed the fourier series periodic function for heptadecagonal fuzzy number and defined the membership function for the closed interval in the current study. For the reverse order heptadecagonal fuzzy number, a fourier series periodic function is also introduced, and it is discovered that both are symmetrical in nature.