On some constructions of new triangular norms

• Autores: Radko Mesiar
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 2, Nº. 1, 1995, págs. 39-45
• Idioma: inglés
• Títulos paralelos:
  • Construcciones de nuevas normas triangulares
• Enlaces
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• Resumen

  • We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given.