Intuitionistic fuzzy-valued fuzzy measures

The concept of intuitionistic fuzzy-valued fuzzy measure, that is L -valued fuzzy measures, where L = {(/spl xi//sub /spl infin//, /spl xi//sub /spl epsi//) /spl isin/ [l, /spl infin/] /spl times/ [l, /spl infin/]; /spl xi//sub /spl infin// + /spl xi//sub /spl epsi// /spl les/ /spl infin/}, 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.