On Archimedean triangular norms

被引：32

作者：

Jenei, S ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Comp Sci, H-1088 Budapest, Hungary

来源：

FUZZY SETS AND SYSTEMS | 1998年 / 99卷 / 02期

关键词：

operations; ana; additive generator; Archimedean property; uniform convergence;

D O I：

10.1016/S0165-0114(97)00021-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The behaviour of the additive generator functions related to a sequence of convergent continuous Archimedean triangular norm (where the limit triangular norm is continuous Archimedean) is examined in this paper. It is proved that the related generator functions converge to the generator function of the limit triangular norm in some sense under the assumption that the limit triangular norm is strict. A bit weaker convergence is proved if the limit triangular norm has 0-divisor. An example is given for the fact that the stronger type of convergence cannot be obtained in the '0-divisor limit' case. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：179 / 186

页数：8