Lusin's Theorem for monotone set-valued measures on topological spaces

Wu Yi; Wu Jian-Rong

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Lusin's Theorem for monotone set-valued measures on topological spaces

机译：拓扑空间上单调集值度量的Lusin定理

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摘要

On a topological space, the inner regularity, outer regularity and regularity of a monotone set-valued measure are considered. Their properties are discussed. Based on these, the versions of Egoroff's Theorem and Lusin's Theorem for monotone set-valued measures on a topological space are shown, respectively. (C) 2018 Published by Elsevier B.V.

机译：在拓扑空间上，考虑了单调集值测度的内部规则，外部规则和规则。讨论了它们的属性。基于这些，分别显示了用于拓扑空间上单调集值测度的Egoroff定理和Lusin定理的版本。（C）2018由Elsevier B.V.发布

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来源
《Fuzzy sets and systems》 |2019年第1期|111-123|共13页
作者
Wu Yi; Wu Jian-Rong;
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作者单位

Suzhou Univ Sci & Technol, Coll Math & Phys, Suzhou 215009, Jiangsu, Peoples R China;

Suzhou Univ Sci & Technol, Coll Math & Phys, Suzhou 215009, Jiangsu, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Monotone set-valued measure; Regularity; Egoroff's Theorem; Lusin's Theorem;

机译：单调集值测度;正则性;Egoroff定理;Lusin定理;

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1. Lusin's theorem on monotone measure spaces [J] . Jun Li, Radko Mesiar Fuzzy sets and systems . 2011,第1期

机译：关于单调测度空间的Lusin定理
2. On Lusin's theorem for non-additive measures that take values in an ordered topological vector space [J] . Toshikazu Watanabe, Tamaki Tanaka Fuzzy sets and systems . 2014,第juna1期

机译：关于在有序拓扑向量空间中取值的非加法测度的卢辛定理
3. On a sufficient condition of Lusin's theorem for non-additive measures that take values in an ordered topological vector space [J] . Toshikazu Watanabe, Toshiharu Kawasaki, Tamaki Tanaka Fuzzy sets and systems . 2012,第期

机译：在Lusin定理的充分条件下，可以对有序拓扑向量空间中的值进行非加法
4. On Lusin's Theorem for Non-additive Measure [C] . Tamaki Tanaka, Toshikazu Watanabe Nonlinear mathematics for uncertainty and its applications . 2011

机译：关于非加性度量的卢辛定理
5. Lattice measures and associated topological spaces [D] . Connell, Roy 1992

机译：格措施和相关的拓扑空间
6. Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces [O] . Ky Fan 1952

机译：局部凸拓扑线性空间中的不动点定理和极小极大定理
7. A type of Lusin’s theorem for regular monotone auto continuous measure space [O] . D. Rajan, A. Beulah 2018

机译：一种Lusin的定理，用于常规单调自动连续测量空间

Lusin's Theorem for monotone set-valued measures on topological spaces

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