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On the convergence of measurable set-valued function sequence on fuzzy measure space

✍ Scribed by Yian-Kui Liu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
114 KB
Volume
112
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper we ΓΏrst discuss the measurable projection theorem on fuzzy measure space, and in this framework the characterization theorem with respect to measurability of a set-valued function is given. By means of the asymptotic structural characteristics of fuzzy measure, we discuss four forms of generalization for both Lebesgue's theorem, Riesz's theorem, and Egoro 's theorem, respectively. The relation between convergence of measurable set-valued function sequence and that of corresponding measurable real-valued function sequence are also discussed.

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