Alireza Sharifi - Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۴۶۹۷, Tehran Iran
Hassan Azadi Kenary - Department of Mathematics, Yasouj University, Yasouj, Iran

In this paper, we establish the Hyers-Ulam-Rassias stability of the following functional equation(۴p)^nf\left(\frac{x_۱+\cdots +x_{(۴p)^n}}{(۴p)^n}\right)  + ۴p\sum_{i=۱}^{(۴p)^{n-۱}} f\left(\frac{x_{۴pi-۴p+۱} + \cdots +x_{۴pi}}{۴p}\right)  = ۲  \sum_{i=۱}^{(۴p)^n} f\left(\frac{x_i+x_{i+۱}}{۲}\right)in fuzzy Banach spaces.

Fuzzy relations, Analysis, Hyers-Ulam-Rassias stability, Fuzzy normed space