Several necessary and su cient conditions for the pseudometric generating property of non-additive set functions are given. The relation among the pseudometric generating property and autocontinuity of fuzzy measures is depicted by using the absolute continuity and exhaustivity. Moreover, any unifor
β¦ LIBER β¦
On the pseudo-autocontinuity of fuzzy measures
β Scribed by Sun Qinghe
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 434 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0165-0114
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In this paper, on the Sugeno's fuzzy measures space, we ΓΏrst 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