On the weak convergence of sequences of fuzzy measures and metric of fuzzy measures
In this paper, on the Sugeno's fuzzy measures space, we first put forward the concepts of the weak convergence and the metric of fuzzy measures. And then, an equivalent condition on the weak convergence of sequences of fuzzy measure are given. Finally, in the sense of this metric, we obtain that the family of fuzzy measures constitute a separable metric space. (C) 2000 Elsevier Science B.V. All rights reserved.
weak convergence fuzzy measure metric fuzzy integral density