Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions.

• Autores: Antonio Di Nola, Witold Pedrycz , Salvatore Sessa
• Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 11, Nº. 2-3, 1987, págs. 151-183
• Idioma: inglés
• Títulos paralelos:
  • Ecuaciones de relación difusa bajo t-normas LSC y USC y sus soluciones booleanas.
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• Resumen

  • This paper follows a companion paper (Stochastica 8 (1984), 99-145) in which we gave the state of the art of the theory of fuzzy relation equations under a special class of triangular norms. Here we continue this theory establishing new results under lower and upper semicontinuous triangular norms and surveying on the main theoretical results appeared in foregoing papers. Max-t fuzzy equations with Boolean solutions are recalled and studied. Many examples clarify the results established.