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

被引：8
|
作者：
Maes, Koen C. [1 ]
De Baets, Bernard [1 ]
机构：
[1] Univ Ghent, Dept Appl Math Biometr & Proc Control, B-9000 Ghent, Belgium
来源：
FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 14期
关键词：
T-norm; Associativity; Left continuity; Rotation invariance; CONTINUOUS TRIANGULAR NORMS; CONSTRUCTION;
D O I：
10.1016/j.fss.2008.09.020
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
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. (C) 2008 Elsevier B.V All rights reserved.
引用
收藏
页码：1998 / 2016
页数：19
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