Bounded variation, absolute continuity and absolute integrability for fuzzy-number-valued functions

Zengtai Gong; Congxin Wu

首页> 外文期刊>Fuzzy sets and systems >Bounded variation, absolute continuity and absolute integrability for fuzzy-number-valued functions

【24h】

Bounded variation, absolute continuity and absolute integrability for fuzzy-number-valued functions

机译：模糊数值函数的有界变化，绝对连续性和绝对可积性

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, the concepts of bounded variation and absolute continuity for the fuzzy-number-valued functions are presented and discussed by means of the representation of the absolute value for fuzzy numbers. The relations among bounded variation, absolute continuity, Kaleva's integral and fuzzy Henstock integral are characterized. Especially, the representation of absolute continuous fuzzy valued functions is given by Henstock (kaleva) integral of absolutely Henstock (Kaleva) integrable fuzzy-number-valued functions.

机译：通过模糊数绝对值的表示，提出并讨论了模糊数值函数的有界变化和绝对连续性的概念。刻画了有界变化，绝对连续性，Kaleva积分和模糊Henstock积分之间的关系。特别是，绝对连续模糊值函数的表示形式是由绝对Henstock（Kaleva）可积模糊数值函数的Henstock（kaleva）积分给出的。

著录项

来源
《Fuzzy sets and systems》 |2002年第1期|p.83-94|共12页
作者
Zengtai Gong; Congxin Wu;
展开▼
作者单位

展开▼
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
Analysis; Number; Fuzzy integral; Bounded variation;

机译：分析;数;模糊积分有界变化;

相似文献

外文文献
中文文献
专利

1. Variations and Absolute Continuity of Set Functions on T_∞-tribe [J] . 王锋叶, 张强北京理工大学学报：英文版 . 2009,第003期

机译：T_∞-部落上集合函数的变化和绝对连续性
2. Absolute convergence of Fourier series of functions of class Lip 1 and of functions of bounded variation [J] . Tsagareishvili V.S. Izvestiya. Mathematics . 2012,第2期

机译：Lip 1类的函数和有界变化的函数的傅里叶级数的绝对收敛
3. Absolute Continuity of a Function and Uniform Integrability of Its Divided Differences [J] . Fitzpatrick Patrick M., Hunt Brian R. The American mathematical monthly . 2015,第4期

机译：函数的绝对连续性和其除数的一致可积性
4. On measures based on the interval-valued pseudo-integrals of real functions and absolute continuity [C] . Medic Slavica, Stajner-Papuga Ivana, Grbic Tatjana, 2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics. . 2012

机译：关于基于实函数的间隔值伪积分和绝对连续性的测度
5. Absolute Continuity of Parabolic Measure and The Initial-Dirichlet Problem [D] . Genschaw, Alyssa. 2019

机译：抛物线措施的绝对连续性和初始dirichlet问题
6. On n-Dimensional Concepts of Bounded Variation Absolute Continuity and Generalized Jacobian [O] . T. Rado, P. V. Reichelderfer 1949

机译：关于有界变化绝对连续性和广义雅可比方程的n维概念
7. On n-Dimensional Concepts of Bounded Variation, Absolute Continuity and Generalized Jacobian [O] . Rado, T., Reichelderfer, P. V. 1949

机译：关于有界变化，绝对连续性和广义雅可比方程的n维概念
8. On the Approximation of Integrable Functions by Functions of Bounded Variation [R] . William T. Reid 1959

机译：关于有界变差函数的可积函数逼近

Bounded variation, absolute continuity and absolute integrability for fuzzy-number-valued functions

摘要

著录项

相似文献

相关主题

期刊订阅