PROCEEDINGS IPMU '08

Two methods of reconstruction of generators of continuous t-norms

Mirko Navara, Milan Petrík.

We present two methods which allow
to reconstruct the multiplicative and
the additive generator of a continuous
Archimedean triangular norm
from its partial derivatives. The
methods can be used for a strict triangular
norm whose multiplicative
generator has a non-zero derivative
at 0, resp. for a continuous Archimedean
triangular norm whose additive
generator has a derivative continuous
at ]0, 1] and non-zero at 1.

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