In this paper, the concept of Pseudo s-geodetic number of fuzzy graphs is introduced and it is shown that the Pseudo s-geodetic set is not in general a complementary s-geodetic set of a fuzzy graph. An upper and lower bound for the Pseudo s-geodetic number is exhibited. The Pseudo s-geodetic number of paths, fuzzy trees and of complete bipartite fuzzy graphs are obtained. An application of Pseudo s-geodetic sets in Location Theory has also been illustrated.