In the paper, we further discuss the conception of absolute continuity to the non-additive set functions on T_∞-tribe. Because the types of absolute continuity of non-additive set functions on T_∞-tribe can be defined by using complex expressions, we give the various types of absolute continuity on T_∞-tribe. Based on the operators of triangular norm, the relationships among the absolute continuity of non-additive set functions on T_∞-tribe are established.