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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