✦ LIBER ✦

Strict Archimedean t-norms and t-conorms as universal approximators

✍ Scribed by Hung T. Nguyen; Vladik Kreinovich; Piotr Wojciechowski

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 532 KB
Volume: 18
Category: Article
ISSN: 0888-613X
DOI: 10.1016/s0888-613x(98)00009-7

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✦ Synopsis

In knowledge representation, when we have to use logical connectives, various continuous t-norms and t-conorms are used. In this paper, we show that every continuous tnorm and t-conorm can be approximated, to an arbitrary degree of accuracy, by a strict Archimedean t-norm (t-conorm).