Lusin's theorem on fuzzy measure spaces
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Jun Li; Masami Yasuda
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Article
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2004
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Elsevier Science
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English
β 258 KB
In this paper, we show that weakly null-additive fuzzy measures on metric spaces possess regularity. Lusin's theorem, which is well-known in classical measure theory, is generalized to fuzzy measure space by using the regularity and weakly null-additivity. A version of Egoro 's theorem for the fuzzy