Dominance is not transitive on continuous triangular norms

• Autores: Peter Sarkoci
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 3, 2008, págs. 201-207
• Idioma: inglés
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• Resumen

  • Dominance is a relation between operations which are defined on a poset. It is well known that dominance of t-norms is reflexive and antisymmetric. The question whether dominance of t-norms is transitive was posed in [5, Problem 12.11.3]. In this paper we show that dominance is not transitive on the set of continuous t-norms.