This paper deals with Lipschitzian t-norms. A partial answer to an open problem of Alsina, Frank and Schweizer is given with regard to strict t-norms with smooth additive generators. A new notion of local Lipschitzianity for arbitrary t-norms is introduced. Some remarkable examples of non-Lipschitzian continuous triangular norms are provided.

k- Lipschitz strict triangular norms

GHISELLI RICCI, Roberto;
2005

Abstract

This paper deals with Lipschitzian t-norms. A partial answer to an open problem of Alsina, Frank and Schweizer is given with regard to strict t-norms with smooth additive generators. A new notion of local Lipschitzianity for arbitrary t-norms is introduced. Some remarkable examples of non-Lipschitzian continuous triangular norms are provided.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1402491
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