In this paper, the concept of fuzzy-valued fuzzy measures is introduce
d at first and then, based on the generalized fuzzy integral given by
Wu et al. [Fuzzy Sets and Systems 57 (1993) 219], the generalized fuzz
y integral of fuzzy-valued functions with respect to fuzzy-valued fuzz
y measures is defined and the properties and convergence theorems are
given. All these are extensions of the Sugeno [Theory of fuzzy integra
ls and its applications, Ph.D. thesis, Tokyo Institute of Technology,
1974] and Wu et al. (1993) theory. (C) 1998 Elsevier Science B.V. All
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