✦ LIBER ✦

On continuous triangular norms

✍ Scribed by Sandor Jenei; János C. Fodor

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 447 KB
Volume: 100
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(97)00063-8

No coin nor oath required. For personal study only.

✦ Synopsis

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-founded triangular-norms is introduced. It is proved that a sequence of triangular-norms converges to a given continuous triangular-norm if and only if this convergence is uniform. Finally, we prove that every continuous triangular norm is a uniform limit of continuous Archimedean triangular-norms. (

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