Egoroff’s theorem on Sugeno fuzzy measure spaces
نویسندگان
چکیده
In this paper, the well-known Egoroff’s theorem in classical measure theory is established on Sugeno fuzzy measure spaces. Taylor’s theorem, which concerns almost everywhere convergence of measurable function sequence in classical measure theory, is also generalized. The converse problem of the theorems are discussed, and a necessary and sufficient condition for the Egoroff’s theorem is obtained on semicotinuous fuzzy measure space with S-compactness.
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