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EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES
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Description
<jats:p> In this paper, the well-known Egoroff's theorem in classical measure theory is established on monotone non-additive 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 semicontinuous fuzzy measure space with S-compactness. </jats:p>
Journal
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- International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
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International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12 61-68, 2004-02-01
World Scientific Pub Co Pte Lt
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Details 詳細情報について
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- CRID
- 1874242817761642368
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- ISSN
- 17936411
- 02184885
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- Data Source
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- OpenAIRE