1. Zero-reconstructible triangular norms as universal approximators
- Creator:
- Petřík, Milan and Sarkoci, Peter
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Zero-recnostructible strict triangular norm, approximation, multiplicative generator, and reconstruction
- Language:
- English
- Description:
- This paper is inspired by recent results [15, 16] which have shown that a multiplicative generator of a strict triangular norm can 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public