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On the weak convergence of sequences of fuzzy measures and metric of fuzzy measures

✍ Scribed by Guijun Wang; Xiaoping Li

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 93 KB
Volume: 112
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(98)00120-1

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✦ Synopsis

In this paper, on the Sugeno's fuzzy measures space, we ÿrst 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.

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