This chapter introduces and analyzes distance based topological indices such as Winer index, Mostar index, Szeged index and Harary index for directed fuzzy graphs, accompanied by suitable examples and the relationship between them are discussed. Also, it explores properties based on the bounds of these defined topological indices of directed fuzzy graph and its paths, cycles. The concept of orientation for fuzzy graphs is defined, and the relationship between fuzzy graphs and oriented fuzzy graphs is examined. The study on defined indices applied to a directed fuzzy network between the locations of Chennai aiming to analyze the feasible paths between them.