Interval　Type-2　fuzzy　sets　(IT2FSs)　could　be　regarded　as　a　feasible　tool　to　cope　with　higher　uncertainty.　Archimedean　T-norm　and　T-conorm　(ATT)　could　offer　the　general　operational　rules　for　IT2FSs.　In　this　study,　we　firstly　analyze　the　drawbacks　of　the　existing　operations　of　IT2FSs.　Then,　in　order　to　overcome　the　drawbacks　of　the　existing　operations　of　IT2FSs,　we　develop　some　novel　operations　of　IT2FSs　based　on　ATT.　Additionally,　some　special　cases　about　various　additive　generators　are　explored.　The　developed　operations　of　IT2FSs　are　essential　to　propose　the　interval　type-2　fuzzy　aggregation　operators　for　the　multiple　criteria　decision　making　(MCDM)　within　the　context　of　IT2FSs.