Results 41 to 50 of about 84 (62)
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A set-valued Egoroff type theorem
Fuzzy Sets and Systems, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alina Gavrilut
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Some notes on monotone set-valued measures and Egoroff's theorem
Fuzzy Sets and Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Egoroff’s theorem and maximal run length
Monatshefte Fur Mathematik, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi-Ying Wen
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The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory
Fuzzy Sets and Systems, 2007The 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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On Egoroff's theorems on fuzzy measure spaces
Fuzzy Sets and Systems, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Egoroff theorem for non-additive measures in Riesz spaces
Fuzzy Sets and Systems, 2006For 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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On Egoroff's theorems on finite monotone non-additive measure space
Fuzzy Sets and Systems, 2005The 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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Conditions for Egoroff's theorem in non-additive measure theory
Fuzzy Sets and Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toshiaki Murofushi +2 more
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New Conditions for the Egoroff Theorem in Non-additive Measure Theory
Advances in Intelligent and Soft Computing, 2010This paper gives a new necessary condition and a new sufficient condition for the Egoroff theorem in non-additive measure theory. The new necessary condition is condition (M), which is newly defined in this paper, and the new sufficient condition is the conjunction of null continuity and condition (M).
Toshiaki Murofushi
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A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory
Fuzzy Sets and Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masayuki Takahashi, Toshiaki Murofushi
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