Specifying t-norms based on the value of T (1/2, 1/2)

• Autores: M. Detyniecki, Ronald R. Yager, B. Bouchon-Meunier
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 7, Nº. 1, 2000, págs. 77-87
• Idioma: inglés
• Títulos paralelos:
  • Especificación de t-normas basada en el valor de T (1/2, 1/2)
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• Resumen

  • We study here the behavior of the t-norms at the point (1/2, 1/2). We indicate why this point can be considered as significant in the specification of t-norms. Then, we suggest that the image of this point can be used to classify the t-norms. We consider some usual examples. We also study the case of parameterized t-norms. Finally using the results of this study, we propose a uniform method of computing the parameters. This method allows not only having the same parameter-scale for all the families, but also giving an intuitional sense to the parameters.