Results 41 to 50 of about 84 (62)

A Set-Valued Egoroff Type Theorem

Fuzzy Sets and Systems, 2011
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Anca Precupanu, Alina Gavrilut
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Some Notes on Monotone Set-Valued Measures and Egoroff's Theorem

Fuzzy Sets and Systems, 2022
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On Egoroff's Theorems on Fuzzy Measure Spaces

Fuzzy Sets and Systems, 2003
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Egoroff’s Theorem and Maximal Run Length

Monatshefte Fur Mathematik, 2007
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Ma, Ji-Hua, Wen, Sheng-You, Wen, Zhi-Ying   +2 more
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The Egoroff Property and the Egoroff Theorem in Riesz Space-Valued Non-Additive Measure Theory

Fuzzy Sets and Systems, 2007
The author obtains some extensions of Egoroff's condition to non-additive, Riesz space valued measures. Here \(\mathcal{F}\) is a \(\sigma\)-algebra of subsets of \(X\), \(V\) is a Riesz space and \(\mu: \mathcal{F} \to V\) is a non-additive measure, which means it is monotone with \( \mu(\emptyset) =0\).
Jun Kawabe
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Egoroff's Theorem on Monotone Non-Additive Measure Spaces

International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, 2004
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.
Masami Yasuda
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On Egoroff's Theorems on Finite Monotone Non-Additive Measure Space

Fuzzy Sets and Systems, 2005
The paper continues and develops the investigation of the Egoroff theorem for finite fuzzy measures (non-additive measures) originated in [\textit{J. Li}, Kybernetika 39, No. 6, 753--760 (2003)]. Four versions of the Egoroff theorem are presented and the connections between some special properties of fuzzy measures are discussed.
Masami Yasuda
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The Egoroff Theorem for Non-Additive Measures in Riesz Spaces

Fuzzy Sets and Systems, 2006
For a \(\sigma\)-algebra \(\mathcal{F}\) on a set \(X\) and a Riesz space \(V\), an increasing mapping \(\mu: \mathcal{F} \to V\), with \( \mu(\emptyset) =0\) is called a non-additive measure. \(\mu\) is called continuous from below if \( A_{n} \downarrow A \) implies \(\mu( A_{n}) \downarrow \mu( A)\), and continuous from above if \( A_{n} \uparrow A \
Jun Kawabe
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Conditions for Egoroff's Theorem in Non-Additive Measure Theory

Fuzzy Sets and Systems, 2004
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Toshiaki Murofushi, Kenta Uchino
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A Remark on the Theorems of Lusin and Egoroff

Canadian Mathematical Bulletin, 1964
In this note we do not intend to establish new results but only to suggest a very simple proof of Lusin's theorem, direct for σ-finite regular measures, a proof that bypasses the usual procedure of first establishing this theorem for sets of finite measure only.
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