This paper investigates the problem of fault estimation and fault tolerant control for a class of T-S fuzzy stochastic singular systems. An integral-type sliding surface based augmented singular sliding mode observer, which is applicable to both dual normalized and non-dual normalized singular systems, is constructed. It is shown that the restrictive rank condition and the equality constraint can be removed. Then a sufficient condition in terms of linear matrix inequalities is developed to guarantee the asymptotically mean square admissibility of the closed-loop systems such that the fault can be estimated and the open-loop system can be stabilized. Moreover, a new adaptive sliding mode controller is designed such that the reachability condition can be guaranteed. Finally, two examples are presented to verify the effectiveness of the proposed method.