Additive generators of border-continuous triangular norms

被引：19
|
作者：
Vicenik, Peter [1 ]
机构：
[1] Bratislava Univ, Fac Econ & Business, Dept Informat & Math, Bratislava 85105, Slovakia
来源：
FUZZY SETS AND SYSTEMS | 2008年 / 159卷 / 13期
关键词：
additive generator; associative law; Cantor function; semigroup; triangular conorm; triangular norm;
D O I：
10.1016/j.fss.2008.01.031
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The characterization of all additive, generators of border-continuous triangular norms (conorms) is introduced. It is also shown that the pseudo-inverse of the Cantor function is an additive generator with a dense set of all points of discontinuity in [0, 1] yielding a border-continuous triangular conorm. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：1631 / 1645
页数：15
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