ZERO-RECONSTRUCTIBLE TRIANGULAR NORMS AS UNIVERSAL APPROXIMATORS
This paper is inspired by recent results [15, 16] which have shown that a multiplicative generator of a strict triangular norm earl be reconstructed from the first partial derivatives of the triangular norm on the segment {0} x [0, 1]. The strict triangular norms to which this method is applicable have been called zero-reconstructible triangular norms. This paper shows that every continuous triangular norm can be approximated (with an arbitrary precision) by a zero-reconstructible, one, and thus substantiates the significance of this subclass of strict triangular norms.
reconstruction approximation multiplicative generator zero-reconstructible strict triangular norm