On the Aleksandrov problem for mappings preserving fuzzy n-distance in fuzzy n-normed spaces

We study the problem of Aleksandrov in fuzzy n-normed spaces and prove that every surjective fuzzy function preserving unit n-distance is affine, and thus is a fuzzy n-isometry. Finally, we show that every fuzzy function preserving two fuzzy unit n-distances confirmers the result of Benz theorem when target space is fuzzy n-strictly convex.