Measurability for fuzzy valued functions

Yun Kyong Kim

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Measurability for fuzzy valued functions

机译：模糊值函数的可度量性

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摘要

In this paper, we characterize the Borel σ-field of the space of fuzzy sets endowed with the Skorokhod metric. As a result, the measurability for a fuzzy valued function is discussed.

机译：在本文中，我们描述了具有Skorokhod度量的模糊集空间的Borelσ场。结果，讨论了模糊值函数的可度量性。

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来源
《Fuzzy sets and systems》 |2002年第1期|p.105-109|共5页
作者
Yun Kyong Kim;
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作者单位

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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
中图分类模糊数学;
关键词
Multifunction; Fuzzy mapping; Skorokhod metric; measurability;

机译：多功能模糊映射;Skorokhod指标;可测性;

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专利

1. Signed Fuzzy-Valued Measures and Radon-Nikodym Theorem of Fuzzy-Valued Measurable Functions [J] . Chen Degang, Zhang Liguo Southeast Asian bulletin of mathematics . 2002,第3期

机译：可测函数的有符号模糊值测度和Radon-Nikodym定理
2. The pseudo-convergence of measurable functions on set-valued fuzzy measure space [J] . Wu Jian Rong, Geng Xiao Ni Soft computing: A fusion of foundations, methodologies and applications . 2018,第13期

机译：集值模糊测量空间可测量功能的伪趋同
3. On Choquet integrals of measurable fuzzy number-valued functions [J] . LeeChae Jang, TaeKyun Kim, JongDuek Jeon, Bulletin of the Korean Mathematical Society . 2004,第1期

机译：可测模糊数值函数的Choquet积分
4. The Characters of the Complex Number-Valued Fuzzy Measurable Function [C] . Ma Shengquan, Wang Qiang Fuzzy information and engineering 2010 . 2010

机译：复数值模糊可测函数的特征
5. AN ABSTRACT INTEGRAL DEFINED FOR ALL REAL-VALUED MEASURABLE FUNCTIONS. [D] . HARRIS, JOHN HENRY. 1963

机译：为所有实值可测量函数定义的抽象积分。
6. REGULAR FUNCTIONS WITH PRESCRIBED MEASURABLE BOUNDARY VALUES ALMOST EVERYWHERE [O] . F. Bagemihl, W. Seidel 1955

机译：几乎所有位置都具有规定的可测量边界值的常规函数
7. Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions [O] . Özer TALO, Enes YAVUZ, Husamettin COŞKUN 2020

机译：Tauberian定理对于强烈可测量的模糊值函数的统计对数相比

Measurability for fuzzy valued functions

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