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Fuzzy metric and convergences based on the symmetric difference

✍ Scribed by Wu Congxin; Li Fachao; Ha Minghu; Qiu Jiqing

Book ID
105641887
Publisher
Springer
Year
1998
Tongue
English
Weight
76 KB
Volume
43
Category
Article
ISSN
1001-6538

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In this paper, by applying the Lebesgue's measure on the symmetric di erence of sets, we introduce the notions of the symmetric di erence metric d and p-mean symmetric di erence metric d p in order to measure the di erence between fuzzy numbers. The concept of the platform type of fuzzy number (p-fu

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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