ON CONTINUOUS TRIANGULAR NORMS

Authors
JENEI S FODOR JC
Citation
S. Jenei et Jc. Fodor, ON CONTINUOUS TRIANGULAR NORMS, Fuzzy sets and systems, 100(1-3), 1998, pp. 273-282
Citations number
5
Categorie Soggetti
Statistic & Probability",Mathematics,"Computer Science Theory & Methods","Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
100
Issue
1-3
Year of publication
1998
Pages
273 - 282
Database
ISI
SICI code
0165-0114(1998)100:1-3<273:OCTN>2.0.ZU;2-G
Abstract
The problem of converging to any given continuous triangular-norm by a . sequence of continuous Archimedean triangular-norms is studied. Such a sequence is built up in a constructive way. The class of well-found ed triangular-norms is introduced. It is proved that a sequence of tri angular-norms converges to a given continuous triangular-norm if and o nly if this convergence is uniform. Finally, we prove that every conti nuous triangular norm is a uniform limit of continuous Archimedean tri angular-norms. (C) 1998 Published by Elsevier Science B.V. All rights reserved.