The Fuzzy Resolving Set (FRS) has been a developing concept in the field of Fuzzy Graph. It was accumulated based on the applications which subject to FRS. In this article, we have found a new concept that corresponds to FRS which is FRDDS and also its properties, examples and applications. Also, Fault-tolerant Fuzzy Resolving Double Domination Set (FFRDDS), Fuzzy Super Resolving Double Domination Set (FSRDDS) and Independent Fuzzy Resolving Double Domination Set (IFRDDS) have been discussed and also its contribution to the Fuzzy graph. A FRDDS combines the ideas of fuzziness, resilience, and resolution in the context of graph theory. It provides a helpful basis for handling mistakes and ambiguity in practical applications. According to the fault-tolerant feature, even if some of the resolving set's components are damaged or corrupted, the functioning of the set as a whole remains intact.