Rotation-invariant t-norms: Where triple rotation and rotation-annihilation meet

Koen C. Maes; Bernard De Baets

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Rotation-invariant t-norms: Where triple rotation and rotation-annihilation meet

机译：旋转不变的t范数：三重旋转和旋转an灭相遇的地方

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摘要

Generalizing the notion of a zoom of a t-norm not only allows to extend the triple rotation method and its corresponding decomposition, but also allows to describe the interface between the triple rotation method and the rotation(-annihilation) method. An alternative view on the partition behind the rotation(-annihilation) method is required to make both methods compatible. Besides zooms we also use contour lines and the companion of a t-norm to concisely formulate the results.

机译：概括t范数的缩放概念不仅可以扩展三重旋转方法及其相应的分解，而且还可以描述三重旋转方法与旋转（ni灭）方法之间的接口。为了使两种方法兼容，需要旋转（-the灭）方法后面的分区的备用视图。除了缩放外，我们还使用轮廓线和t范数的伴随来简明地表述结果。

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来源
《Fuzzy sets and systems》 |2009年第14期|1998-2016|共19页
作者
Koen C. Maes; Bernard De Baets;
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作者单位

Deportment of AppIied Mathematics, Biometrics and Process Control, Ghent University, Compere Links 653, B-9000 Gent, Belgium;

Deportment of AppIied Mathematics, Biometrics and Process Control, Ghent University, Compere Links 653, B-9000 Gent, Belgium;

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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
t-norm; associativity; left continuity; rotation invanance;

机译：t范数关联性左连续性轮换;

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专利

1. Rotation-invariant T-norms: The Rotation Invariance property Revisited [J] . Koen C, Maes, Bernard De Baets Fuzzy sets and systems . 2009,第1期

机译：旋转不变的T范数：重新讨论了旋转不变性
2. Rotation-invariant t-norm solutions of a system of functional equations [J] . Koen Maes, Bernard De Baets Fuzzy sets and systems . 2006,第3期

机译：函数方程组的旋转不变t范数解
3. The triple rotation method for constructing t-norms [J] . Koen C. Maes, Bernard De Baets Fuzzy sets and systems . 2007,第15期

机译：构造t范数的三重旋转方法
4. Advances in the Geometrical Study of Rotation-Invariant T-Norms [C] . Koen C. Maes, Bernard De Baets International Fuzzy Systems Association World Congress . 2007

机译：旋转不变T范围的几何研究进展
5. A rotation-invariant image pattern classifier [D] . Budge, Scott E. 1990

机译：旋转不变图像模式分类器
6. Role of visual and non-visual cues in constructing a rotation-invariant representation of heading in parietal cortex [O] . Adhira Sunkara, Gregory C DeAngelis, Dora E Angelaki 2015

机译：视觉和非视觉线索在构建顶叶皮层旋转方向不变表示中的作用
7. Rotation-invariant t-norms [O] . Maes Koen 2007

机译：旋转不变的t-范数

Rotation-invariant t-norms: Where triple rotation and rotation-annihilation meet

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