Variations and Absolute Continuity of Set Functions on T((infinity))-tribe

some properties of the inclusion variation and the disjoint variation of set functions on T((infinity))-tribe are studied in detail. The absolute continuity and singularity of set functions on T((infinity))-tribe are discussed. The triangular norms T((infinity)) and S((infinity)) are considered as the operators of intersection and union between the fuzzy sets. As a result, some important conclusions about the variations and absolute continuity of set functions on T((infinity))-tribe are obtained such as the superadditivity of inclusion variation, the relation between the variations and the e-quivalence proposition of absolute continuity of set functions on T((infinity))-tribe. In addition, two small mistakes about T((infinity))-measure are pointed out by the counterexamples and are revised.