- - - Department of Mathematics‎, ‎Shiraz Branch‎, ‎Islamic Azad University‎, ‎Shiraz‎, ‎Iran
- - - Department of Mathematics‎, ‎Shiraz Branch‎, ‎Islamic Azad University‎, ‎Shiraz‎, ‎Iran
- - - Department of Mathematics‎, ‎Semnan University P.O‎. ‎Box ۳۵۱۹۵-۳۶۳‎, ‎Semnan‎, ‎Iran‎
- - - Department of Mathematics‎, ‎Shiraz Branch‎, ‎Islamic Azad University‎, ‎Shiraz‎, ‎Iran

‎In this paper‎, ‎using fixed point methods‎, ‎we prove the fuzzy orthogonally *-n-derivation on orthogonally fuzzy C^*-algebra for the functional equation‎‎\begin{align*}‎‎\begin{split}‎‎f(\frac{\mu x+\mu y}{۲}+\mu w)+f(\frac{\mu x+\mu w}{۲}+\mu y)+f(\frac{\mu y+\mu w}{۲}+\mu x)‎‎=۲\mu f(x)-۲\mu f(y)-۲\mu f(w)‎.‎\end{split}‎‎\end{align*}‎

‎Stability, Fixed point approach, *-n-derivation‎, ‎Fuzzy C^*-algebra‎