Strict Achimedean t-Norms and t-Conorms as Universal Approximators

Authors

Hung T. Nguyen
Vladik Kreinovich, The University of Texas at El PasoFollow
Piotr Wojciechowski, The University of Texas at El PasoFollow

Publication Date

9-1997

Comments

Technical Report: UTEP-CS-97-3a

Published in International Journal of Approximate Reasoning, 1998, Vol. 18, No. 3-4, pp. 239-249.

Abstract

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 t-norm and t-conorm can be approximated, to an arbitrary degree of accuracy, by a strict Archimedean t-norm (t-conorm).