Approximation of k-Lipschitz t-norms by strict and nilpotent k-Lipschitz t-norms

被引：11

作者：

Mesiarova, A. ^{[1
]}

机构：

[1] SAS, Math Inst, Bratislava, Slovakia

来源：

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 2007年 / 36卷 / 02期

关键词：

additive generator; k-Lipschitz property; triangular norm;

D O I：

10.1080/03081070600919897

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Some topological properties of k-Lipschitz triangular norms are investigated, generalizing the results known for the case k = 1. For any fixed k is an element of [1, infinity[, the class of all k-Lipschitz t-norms is shown to be compact. Moreover, it is shown that the set of all k-Lipschitz t-norms is the closure of both the set of all strict k-Lipschitz t-norms and the set of all nilpotent k-Lipschitz t-norms.

引用

页码：205 / 218

页数：14

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