Abstract :
The concept of intuitionistic fuzzy-valued fuzzy measure, that is L -valued fuzzy measures, where L = {(ξ∞, ξε) ∈ [l, ∞] × [l, ∞]; ξ∞ + ξε ≤ ∞}, is introduced. We discuss the aspects of continuity, duality and decomposability of these fuzzy measures. The intuitionistic fuzzy-valued fuzzy measures induced by subadditive or superadditive fuzzy measures are proposed.