On continuous triangular norms that are migrative

被引：80
|
作者：
Fodor, J. [1 ]
Rudas, I. J. [1 ]
机构：
[1] Tech Univ Budapest, Inst Intelligent Engn Syst, H-1034 Budapest, Hungary
来源：
FUZZY SETS AND SYSTEMS | 2007年 / 158卷 / 15期
基金：
匈牙利科学研究基金会;
关键词：
continuous triangular norm; migrative property; additive generator; functional equations;
D O I：
10.1016/j.fss.2007.02.020
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we completely describe all continuous migrative triangular norms. Since the migrative property excludes both idempotent and nilpotent classes, the characterization and construction is carried out by solving a functional equation for additive generators of strict t-norms. We also study cases when the construction results in a smooth generator. (c) 2007 Elsevier B.V All rights reserved.
引用
收藏
页码：1692 / 1697
页数：6
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