Idempotent operators on a finite chain

• Autores: Margarita Mas Grimalt , Joan Torrens Sastre , Tomasa Calvo Sánchez , Marc Carbonell Huguet
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 6, Nº. 2-3, 1999, págs. 235-247
• Idioma: inglés
• Títulos paralelos:
  • Operadores idempotentes en una cadena finita
• Enlaces
  • Texto completo (pdf)
• Resumen

  • This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.