“…The MCS method is used in the references [3,6,11,16,17,21,[30][31][32][33] to assess the probabilistic safety of concrete dams. In some studies, the evaluation of the failure functions (FF) has been obtained by analytical formulation [3,6,16,18,32,33] and in others; the finite element (FE) analysis method has been used [5,7,10,[13][14][15]17,25,26,29,30]. Different FF have been assigned to the safety assessment of concrete gravity dams as a system in various investigations [3,9,10,11,[15][16][17]25,32].…”