On continuous triangular norms that are migrative

被引：83

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

页码：1692 / 1697

页数：6