On the continuity of fuzzy integral in relation with measure convergence

• Flores F., Arturo ^[1] ; Román F., Heriberto ^[1] ; Bassanezi, Rodney C. ^[2]
  1. [1] Universidad de Tarapacá

     Universidad de Tarapacá

     Arica, Chile

     
  2. [2] Universidad de Campinas.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 12, Nº. 2, 1993, págs. 137-147
• Idioma: inglés
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• Resumen

  • The aim of this paper is to analyze the continuity of the fuzzy integral in relation to the measure convergence. More precisely, we introduce the concept of autocontinuity of a fuzzy measure with respect to another fuzzy measure and we establish necessary and sufficient conditions such that measure convergence of functions, with respect to a fuzzy measure, implies the convergence of the fuzzy integral with respect to another fuzzy measure.