Pseudo-atoms and Darboux property for set multifunctions

Alina Gavrilut; rnAnca Croitoru

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Pseudo-atoms and Darboux property for set multifunctions

机译：设置多功能的伪原子和Darboux属性

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摘要

In this paper, we introduce and study the concepts of pseudo-atom and Darboux property for set multifunctions. We establish relationships between the Darboux property and non-atomicity in the multivalued case. We also prove that the range of a multimeasure having the Darboux property is a convex set.

机译：在本文中，我们介绍并研究了集合多功能函数的拟原子和Darboux属性的概念。在多值情况下，我们建立了Darboux属性与非原子性之间的关系。我们还证明了具有Darboux属性的多重度量的范围是凸集。

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来源
《Fuzzy sets and systems》 |2010年第22期|p.2897-2908|共12页
作者
Alina Gavrilut; rnAnca Croitoru;
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作者单位

Faculty of Mathematics, 'Al. I. Cuza' University, Bd. Carol I, no. 11, Iasi 700506, Romania;

rnFaculty of Mathematics, 'Al. I. Cuza' University, Bd. Carol I, no. 11, Iasi 700506, Romania;

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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
fuzzy set multifunction; pseudo-atom; atom; non-atomic; darboux property;

机译：模糊集多功能;假原子原子;非原子达布克斯物业;

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Pseudo-atoms and Darboux property for set multifunctions

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